{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Testing on GSM8k Math reasoning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, we show how Adala can learn and improve math reasoning skills based on [GSM8k dataset](https://github.com/openai/grade-school-math).\n",
    "\n",
    "We use a handful of annotated examples from train set, and verify the answer accuracy on the full test set that consists of 1319 examples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Baseline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get the GSM8k datasets with train / test splits:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>question</th>\n",
       "      <th>answer</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Natalia sold clips to 48 of her friends in Apr...</td>\n",
       "      <td>Natalia sold 48/2 = &lt;&lt;48/2=24&gt;&gt;24 clips in May...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Weng earns $12 an hour for babysitting. Yester...</td>\n",
       "      <td>Weng earns 12/60 = $&lt;&lt;12/60=0.2&gt;&gt;0.2 per minut...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Betty is saving money for a new wallet which c...</td>\n",
       "      <td>In the beginning, Betty has only 100 / 2 = $&lt;&lt;...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Julie is reading a 120-page book. Yesterday, s...</td>\n",
       "      <td>Maila read 12 x 2 = &lt;&lt;12*2=24&gt;&gt;24 pages today....</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>James writes a 3-page letter to 2 different fr...</td>\n",
       "      <td>He writes each friend 3*2=&lt;&lt;3*2=6&gt;&gt;6 pages a w...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            question  \\\n",
       "0  Natalia sold clips to 48 of her friends in Apr...   \n",
       "1  Weng earns $12 an hour for babysitting. Yester...   \n",
       "2  Betty is saving money for a new wallet which c...   \n",
       "3  Julie is reading a 120-page book. Yesterday, s...   \n",
       "4  James writes a 3-page letter to 2 different fr...   \n",
       "\n",
       "                                              answer  \n",
       "0  Natalia sold 48/2 = <<48/2=24>>24 clips in May...  \n",
       "1  Weng earns 12/60 = $<<12/60=0.2>>0.2 per minut...  \n",
       "2  In the beginning, Betty has only 100 / 2 = $<<...  \n",
       "3  Maila read 12 x 2 = <<12*2=24>>24 pages today....  \n",
       "4  He writes each friend 3*2=<<3*2=6>>6 pages a w...  "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from datasets import load_dataset\n",
    "gsm8k = load_dataset(\"gsm8k\", \"main\")\n",
    "\n",
    "df_train = pd.DataFrame({'question': gsm8k['train']['question'], 'answer': gsm8k['train']['answer']})\n",
    "df_test = pd.DataFrame({'question': gsm8k['test']['question'], 'answer': gsm8k['test']['answer']})\n",
    "\n",
    "df_train.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following code is used to evaluate the quality of answers by comparing numbers in the outputs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "\n",
    "def extract_and_convert_numbers(text):\n",
    "    pattern = \"\\d{1,3}(?:,\\d{3})*\\.?\\d*\"\n",
    "    numbers = re.findall(pattern, text)\n",
    "    return [int(num.replace(',', '').split('.')[0]) for num in numbers if num.replace(',', '').split('.')[0]]\n",
    "\n",
    "def evaluate_answers(ground_truth, prediction):\n",
    "    pred = extract_and_convert_numbers(prediction)\n",
    "    gt = extract_and_convert_numbers(ground_truth)                             \n",
    "    return any(p == gt[-1] for p in pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can create and execute baseline agent. We start with the naive baseline that just expects answer given the question, by following the prompt template, without any additional instructions:\n",
    "```\n",
    "Q: {question}\n",
    "A: {answer}\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">Agent Instance</span>\n",
       "\n",
       "Environment: StaticEnvironment\n",
       "Skills: math_solver\n",
       "Runtimes: openai\n",
       "Default Runtime: openai\n",
       "Default Teacher Runtime: gpt4\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1;34mAgent Instance\u001b[0m\n",
       "\n",
       "Environment: StaticEnvironment\n",
       "Skills: math_solver\n",
       "Runtimes: openai\n",
       "Default Runtime: openai\n",
       "Default Teacher Runtime: gpt4\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from rich import print\n",
    "from adala.agents import Agent\n",
    "from adala.skills import LinearSkillSet, TransformSkill\n",
    "from adala.environments import StaticEnvironment\n",
    "from adala.runtimes import OpenAIChatRuntime\n",
    "\n",
    "\n",
    "skills = LinearSkillSet(skills=[\n",
    "    TransformSkill(\n",
    "        name='math_solver',\n",
    "        # we start with no instructions then explain how agent can learn more details\n",
    "        instructions='',\n",
    "        # instructions=prompt,\n",
    "        input_template='Q: {question}',\n",
    "        # here is the baseline established in Kojima et al., 2022 paper\n",
    "        # output_template='A: Let’s think step by step. {rationale}\\nFinal numerical answer:{answer}',\n",
    "        output_template='A: {answer}',\n",
    "        instructions_first=False\n",
    "    )\n",
    "])\n",
    "\n",
    "agent = Agent(\n",
    "    skills=skills,\n",
    "    \n",
    "    # this is where agent receives the ground truth signal\n",
    "    environment = StaticEnvironment(\n",
    "        df=df_train,\n",
    "        matching_function=evaluate_answers\n",
    "    ),\n",
    "    \n",
    "    teacher_runtimes={'gpt4': OpenAIChatRuntime(model='gpt-4-1106-preview')},\n",
    "    default_teacher_runtime='gpt4'\n",
    "    \n",
    ")\n",
    "print(agent)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Applying skill: math_solver\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█| 1319/1319 [21:58<0\n"
     ]
    }
   ],
   "source": [
    "# run baseline agent on a test dataset\n",
    "result_baseline = agent.run(df_test.drop(columns='answer'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get baseline evaluation results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Baseline accuracy: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.4533737680060652</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Baseline accuracy: \u001b[1;36m0.4533737680060652\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# evaluate baseline results\n",
    "accuracy = StaticEnvironment(df=df_test, matching_function=evaluate_answers).get_feedback(skills, result_baseline).get_accuracy()\n",
    "\n",
    "print(f'Baseline accuracy: {accuracy[\"answer\"]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Improve the baseline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The agent can improve its initial skill by learning new instructions from provided ground truth signals:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "\n",
       "=&gt; Iteration #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>: Getting feedback, analyzing and improving <span style=\"color: #808000; text-decoration-color: #808000\">...</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n",
       "\n",
       "=> Iteration #\u001b[1;36m0\u001b[0m: Getting feedback, analyzing and improving \u001b[33m...\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Applying skill: math_solver\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█| 5/5 [00:03<00:00, \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Predictions and feedback:\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Predictions and feedback:\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">                                                                                                                   \n",
       " <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer__fb                          </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> question                            </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer                              </span> \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.                John works a job that offers          John makes $10 per hour if he        \n",
       "                                        performance bonuses.  He makes $80    decides to earn the bonus.           \n",
       "                                        a day and works for 8 hours.  He                                           \n",
       "                                        has the option of working hard to                                          \n",
       "                                        earn the performance bonus of an                                           \n",
       "                                        extra $20 a day, but the extra                                             \n",
       "                                        effort results in a 2-hour longer                                          \n",
       "                                        workday.  How much does John make                                          \n",
       "                                        per hour if he decides to earn the                                         \n",
       "                                        bonus?                                                                     \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Nancy agreed to pay 40% of the cost </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Nancy will pay $384 each year for   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of her daughter's car insurance,    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> her daughter's car insurance.       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> which costs $80 a month. How much   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> will Nancy pay each year?           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       "  Prediction is correct.                There are 200 snakes in a park.       200 - 40 = 160                       \n",
       "                                        There are three times as many         160/4 = 40                           \n",
       "                                        pythons as boa constrictors. If       There are 40 rattlesnakes in the     \n",
       "                                        there 40 boa constrictors and the     park.                                \n",
       "                                        rest of the snakes are                                                     \n",
       "                                        rattlesnakes, calculate the total                                          \n",
       "                                        number of rattlesnakes in the park.                                        \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Abigail spent 60% of her money on   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> food, and 25% of the remainder on   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Let x be the initial amount of      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> her phone bill. After spending $20  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> money Abigail had.                  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> on entertainment, she is left with  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $40. How much money did Abigail     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> After spending 60% on food, she is  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> have initially?                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> left with 40% of x, which is 0.4x.  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Out of this 0.4x, she spends 25% on </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> her phone bill, which is 0.25(0.4x) </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> = 0.1x.                             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> After spending $20 on               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> entertainment, she is left with     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 0.4x - 0.1x - $20 = $40.            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Simplifying, we get 0.3x = $60.     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Dividing both sides by 0.3, we get  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x = $200.                           </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, Abigail initially had    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $200.                               </span> \n",
       "  Prediction is incorrect. Correct      Davida worked 35 hours on each of     16 hours                             \n",
       "  answer: \"Week 1 + Week 2 = 35 + 35    Weeks 1 and 2. She worked 48 hours                                         \n",
       "  = &lt;&lt;35+35=70&gt;&gt;70 hours                each of Weeks 3 and 4. How many                                            \n",
       "  Week 3 + Week 4 = 48 + 48 =           more hours did Davida work on Weeks                                        \n",
       "  &lt;&lt;48+48=96&gt;&gt;96 hours                  3 and 4 than on Weeks 1 and 2?                                             \n",
       "  Subtract Weeks 3-4 from Weeks 1-2 =                                                                              \n",
       "  96 - 70 = &lt;&lt;96-70=26&gt;&gt;26                                                                                         \n",
       "  #### 26\"                                                                                                         \n",
       "                                                                                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "                                                                                                                   \n",
       " \u001b[1;35m \u001b[0m\u001b[1;35manswer__fb                         \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35mquestion                           \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35manswer                             \u001b[0m\u001b[1;35m \u001b[0m \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.                John works a job that offers          John makes $10 per hour if he        \n",
       "                                        performance bonuses.  He makes $80    decides to earn the bonus.           \n",
       "                                        a day and works for 8 hours.  He                                           \n",
       "                                        has the option of working hard to                                          \n",
       "                                        earn the performance bonus of an                                           \n",
       "                                        extra $20 a day, but the extra                                             \n",
       "                                        effort results in a 2-hour longer                                          \n",
       "                                        workday.  How much does John make                                          \n",
       "                                        per hour if he decides to earn the                                         \n",
       "                                        bonus?                                                                     \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mNancy agreed to pay 40% of the cost\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mNancy will pay $384 each year for  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof her daughter's car insurance,   \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mher daughter's car insurance.      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mwhich costs $80 a month. How much  \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mwill Nancy pay each year?          \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \n",
       "  Prediction is correct.                There are 200 snakes in a park.       200 - 40 = 160                       \n",
       "                                        There are three times as many         160/4 = 40                           \n",
       "                                        pythons as boa constrictors. If       There are 40 rattlesnakes in the     \n",
       "                                        there 40 boa constrictors and the     park.                                \n",
       "                                        rest of the snakes are                                                     \n",
       "                                        rattlesnakes, calculate the total                                          \n",
       "                                        number of rattlesnakes in the park.                                        \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mAbigail spent 60% of her money on  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfood, and 25% of the remainder on  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mLet x be the initial amount of     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mher phone bill. After spending $20 \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mmoney Abigail had.                 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mon entertainment, she is left with \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$40. How much money did Abigail    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mAfter spending 60% on food, she is \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mhave initially?                    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mleft with 40% of x, which is 0.4x. \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mOut of this 0.4x, she spends 25% on\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mher phone bill, which is 0.25(0.4x)\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m= 0.1x.                            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mAfter spending $20 on              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mentertainment, she is left with    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m0.4x - 0.1x - $20 = $40.           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mSimplifying, we get 0.3x = $60.    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mDividing both sides by 0.3, we get \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mx = $200.                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, Abigail initially had   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$200.                              \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is incorrect. Correct      Davida worked 35 hours on each of     16 hours                             \n",
       "  answer: \"Week 1 + Week 2 = 35 + 35    Weeks 1 and 2. She worked 48 hours                                         \n",
       "  = <<35+35=70>>70 hours                each of Weeks 3 and 4. How many                                            \n",
       "  Week 3 + Week 4 = 48 + 48 =           more hours did Davida work on Weeks                                        \n",
       "  <<48+48=96>>96 hours                  3 and 4 than on Weeks 1 and 2?                                             \n",
       "  Subtract Weeks 3-4 from Weeks 1-2 =                                                                              \n",
       "  96 - 70 = <<96-70=26>>26                                                                                         \n",
       "  #### 26\"                                                                                                         \n",
       "                                                                                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Output to improve: </span><span style=\"color: #008000; text-decoration-color: #008000\">\"answer\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\"> (</span><span style=\"color: #808000; text-decoration-color: #808000; font-weight: bold\">Skill</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">=</span><span style=\"color: #008000; text-decoration-color: #008000\">\"math_solver\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span>\n",
       "<span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Accuracy = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80.00</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">%</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1;31mOutput to improve: \u001b[0m\u001b[32m\"answer\"\u001b[0m\u001b[1;31m \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;33mSkill\u001b[0m\u001b[1;31m=\u001b[0m\u001b[32m\"math_solver\"\u001b[0m\u001b[1;31m)\u001b[0m\n",
       "\u001b[1;31mAccuracy = \u001b[0m\u001b[1;36m80.00\u001b[0m\u001b[1;31m%\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{system}\"</span>:\n",
       "You are a helpful assistant.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32msystem\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "You are a helpful assistant.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model <span style=\"font-weight: bold\">(</span>LLM<span style=\"font-weight: bold\">)</span> to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: <span style=\"font-weight: bold\">{</span>question<span style=\"font-weight: bold\">}</span>\n",
       "<span style=\"font-weight: bold\">{</span>prompt<span style=\"font-weight: bold\">}</span>\n",
       "A: <span style=\"font-weight: bold\">{</span>answer<span style=\"font-weight: bold\">}</span>\n",
       "```\n",
       "\n",
       "Here:\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"Q: {question}\"</span> is input template,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"{prompt}\"</span> is the LLM prompt,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"A: {answer}\"</span> is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "Next, you will carefully review your reasoning in step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model \u001b[1m(\u001b[0mLLM\u001b[1m)\u001b[0m to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: \u001b[1m{\u001b[0mquestion\u001b[1m}\u001b[0m\n",
       "\u001b[1m{\u001b[0mprompt\u001b[1m}\u001b[0m\n",
       "A: \u001b[1m{\u001b[0manswer\u001b[1m}\u001b[0m\n",
       "```\n",
       "\n",
       "Here:\n",
       "- \u001b[32m\"Q: \u001b[0m\u001b[32m{\u001b[0m\u001b[32mquestion\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is input template,\n",
       "- \u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32mprompt\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the LLM prompt,\n",
       "- \u001b[32m\"A: \u001b[0m\u001b[32m{\u001b[0m\u001b[32manswer\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step \u001b[1;36m1\u001b[0m\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step \u001b[1;36m2\u001b[0m\n",
       "Next, you will carefully review your reasoning in step \u001b[1;36m1\u001b[0m, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "## Current prompt\n",
       "\n",
       "\n",
       "## Examples\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>\n",
       "\n",
       "Q: John works a job that offers performance bonuses.  He makes $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span> a day and works for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> hours.  He has the option \n",
       "of working hard to earn the performance bonus of an extra $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> a day, but the extra effort results in a <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>-hour \n",
       "longer workday.  How much does John make per hour if he decides to earn the bonus?\n",
       "\n",
       "A: John makes $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> per hour if he decides to earn the bonus.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "\n",
       "Q: Nancy agreed to pay <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>% of the cost of her daughter's car insurance, which costs $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span> a month. How much will \n",
       "Nancy pay each year?\n",
       "\n",
       "A: Nancy will pay $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">384</span> each year for her daughter's car insurance.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "\n",
       "Q: There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> snakes in a park. There are three times as many pythons as boa constrictors. If there <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> boa \n",
       "constrictors and the rest of the snakes are rattlesnakes, calculate the total number of rattlesnakes in the park.\n",
       "\n",
       "A: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> - <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">160</span>\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">160</span>/<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>\n",
       "There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> rattlesnakes in the park.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>\n",
       "\n",
       "Q: Abigail spent <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span>% of her money on food, and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span>% of the remainder on her phone bill. After spending $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> on \n",
       "entertainment, she is left with $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>. How much money did Abigail have initially?\n",
       "\n",
       "A: \n",
       "Let x be the initial amount of money Abigail had.\n",
       "\n",
       "After spending <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span>% on food, she is left with <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>% of x, which is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>4x.\n",
       "\n",
       "Out of this <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>4x, she spends <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span>% on her phone bill, which is <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">0.25</span><span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>4x<span style=\"font-weight: bold\">)</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>1x.\n",
       "\n",
       "After spending $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> on entertainment, she is left with <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>4x - <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>1x - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>.\n",
       "\n",
       "Simplifying, we get <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.</span>3x = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span>.\n",
       "\n",
       "Dividing both sides by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.3</span>, we get x = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span>.\n",
       "\n",
       "Therefore, Abigail initially had $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span>.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>\n",
       "\n",
       "Q: Davida worked <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">35</span> hours on each of Weeks <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. She worked <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">48</span> hours each of Weeks <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>. How many more hours \n",
       "did Davida work on Weeks <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> than on Weeks <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>?\n",
       "\n",
       "A: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span> hours\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"Week <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> + Week <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">35</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">35</span> = <span style=\"font-weight: bold\">&lt;</span><span style=\"color: #000000; text-decoration-color: #000000\">&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">35</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">35</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Week </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\"> + Week </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\"> = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">48</span><span style=\"color: #000000; text-decoration-color: #000000\"> + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">48</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">48</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">48</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">96</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">96</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Subtract Weeks </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\">-</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\"> from Weeks </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #000000; text-decoration-color: #000000\">-</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">96</span><span style=\"color: #000000; text-decoration-color: #000000\"> - </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">96</span><span style=\"color: #000000; text-decoration-color: #000000\">-</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">26</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;</span><span style=\"font-weight: bold\">&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">26</span>\n",
       "#### <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">26</span>\"\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "## Current prompt\n",
       "\n",
       "\n",
       "## Examples\n",
       "### Example #\u001b[1;36m0\u001b[0m\n",
       "\n",
       "Q: John works a job that offers performance bonuses.  He makes $\u001b[1;36m80\u001b[0m a day and works for \u001b[1;36m8\u001b[0m hours.  He has the option \n",
       "of working hard to earn the performance bonus of an extra $\u001b[1;36m20\u001b[0m a day, but the extra effort results in a \u001b[1;36m2\u001b[0m-hour \n",
       "longer workday.  How much does John make per hour if he decides to earn the bonus?\n",
       "\n",
       "A: John makes $\u001b[1;36m10\u001b[0m per hour if he decides to earn the bonus.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m1\u001b[0m\n",
       "\n",
       "Q: Nancy agreed to pay \u001b[1;36m40\u001b[0m% of the cost of her daughter's car insurance, which costs $\u001b[1;36m80\u001b[0m a month. How much will \n",
       "Nancy pay each year?\n",
       "\n",
       "A: Nancy will pay $\u001b[1;36m384\u001b[0m each year for her daughter's car insurance.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m2\u001b[0m\n",
       "\n",
       "Q: There are \u001b[1;36m200\u001b[0m snakes in a park. There are three times as many pythons as boa constrictors. If there \u001b[1;36m40\u001b[0m boa \n",
       "constrictors and the rest of the snakes are rattlesnakes, calculate the total number of rattlesnakes in the park.\n",
       "\n",
       "A: \u001b[1;36m200\u001b[0m - \u001b[1;36m40\u001b[0m = \u001b[1;36m160\u001b[0m\n",
       "\u001b[1;36m160\u001b[0m/\u001b[1;36m4\u001b[0m = \u001b[1;36m40\u001b[0m\n",
       "There are \u001b[1;36m40\u001b[0m rattlesnakes in the park.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m3\u001b[0m\n",
       "\n",
       "Q: Abigail spent \u001b[1;36m60\u001b[0m% of her money on food, and \u001b[1;36m25\u001b[0m% of the remainder on her phone bill. After spending $\u001b[1;36m20\u001b[0m on \n",
       "entertainment, she is left with $\u001b[1;36m40\u001b[0m. How much money did Abigail have initially?\n",
       "\n",
       "A: \n",
       "Let x be the initial amount of money Abigail had.\n",
       "\n",
       "After spending \u001b[1;36m60\u001b[0m% on food, she is left with \u001b[1;36m40\u001b[0m% of x, which is \u001b[1;36m0.\u001b[0m4x.\n",
       "\n",
       "Out of this \u001b[1;36m0.\u001b[0m4x, she spends \u001b[1;36m25\u001b[0m% on her phone bill, which is \u001b[1;35m0.25\u001b[0m\u001b[1m(\u001b[0m\u001b[1;36m0.\u001b[0m4x\u001b[1m)\u001b[0m = \u001b[1;36m0.\u001b[0m1x.\n",
       "\n",
       "After spending $\u001b[1;36m20\u001b[0m on entertainment, she is left with \u001b[1;36m0.\u001b[0m4x - \u001b[1;36m0.\u001b[0m1x - $\u001b[1;36m20\u001b[0m = $\u001b[1;36m40\u001b[0m.\n",
       "\n",
       "Simplifying, we get \u001b[1;36m0.\u001b[0m3x = $\u001b[1;36m60\u001b[0m.\n",
       "\n",
       "Dividing both sides by \u001b[1;36m0.3\u001b[0m, we get x = $\u001b[1;36m200\u001b[0m.\n",
       "\n",
       "Therefore, Abigail initially had $\u001b[1;36m200\u001b[0m.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m4\u001b[0m\n",
       "\n",
       "Q: Davida worked \u001b[1;36m35\u001b[0m hours on each of Weeks \u001b[1;36m1\u001b[0m and \u001b[1;36m2\u001b[0m. She worked \u001b[1;36m48\u001b[0m hours each of Weeks \u001b[1;36m3\u001b[0m and \u001b[1;36m4\u001b[0m. How many more hours \n",
       "did Davida work on Weeks \u001b[1;36m3\u001b[0m and \u001b[1;36m4\u001b[0m than on Weeks \u001b[1;36m1\u001b[0m and \u001b[1;36m2\u001b[0m?\n",
       "\n",
       "A: \u001b[1;36m16\u001b[0m hours\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"Week \u001b[1;36m1\u001b[0m + Week \u001b[1;36m2\u001b[0m = \u001b[1;36m35\u001b[0m + \u001b[1;36m35\u001b[0m = \u001b[1m<\u001b[0m\u001b[39m<\u001b[0m\u001b[1;36m35\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m35\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m hours\u001b[0m\n",
       "\u001b[39mWeek \u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m + Week \u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m = \u001b[0m\u001b[1;36m48\u001b[0m\u001b[39m + \u001b[0m\u001b[1;36m48\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m48\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m48\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m96\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m96\u001b[0m\u001b[39m hours\u001b[0m\n",
       "\u001b[39mSubtract Weeks \u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m-\u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m from Weeks \u001b[0m\u001b[1;36m1\u001b[0m\u001b[39m-\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m = \u001b[0m\u001b[1;36m96\u001b[0m\u001b[39m - \u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m96\u001b[0m\u001b[39m-\u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m26\u001b[0m\u001b[39m>\u001b[0m\u001b[1m>\u001b[0m\u001b[1;36m26\u001b[0m\n",
       "#### \u001b[1;36m26\u001b[0m\"\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "Analysis:\n",
       "\n",
       "The current prompt does not seem to include any specific instructions, which makes the analysis of the examples \n",
       "based on the implicit assumption that the tasks are primarily arithmetic word problems requiring the model to \n",
       "perform calculations for the correct outcome.\n",
       "\n",
       "Examples #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>, #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>, and #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> resulted in correct predictions. This suggests that the model can handle a variety of \n",
       "word problems involving percentages, direct comparisons, and multi-step calculations effectively.\n",
       "\n",
       "Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> resulted in an incorrect prediction. The user's provided correct answer indicates that the model made a \n",
       "basic arithmetic mistake by not accounting for the total hours worked across the four weeks appropriately. Instead \n",
       "of calculating the sum of hours for Weeks <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> and then the sum for Weeks <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>, the model simply gave the \n",
       "difference in hours between individual weeks.\n",
       "\n",
       "Suggested Changes to Prompt:\n",
       "\n",
       "Since the model's performance was adequate for the majority of the examples, the error in Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> could be a \n",
       "lapse in calculation rather than a fundamental misunderstanding of the task. Nevertheless, to minimize such errors,\n",
       "it might be beneficial to include in the prompt a reminder to perform careful arithmetic checks. Here is a refined \n",
       "version of the prompt, with added instructions to ensure careful arithmetic and verification of calculations:\n",
       "\n",
       "```\n",
       "For each arithmetic word problem provided:\n",
       "- Carefully identify the quantities involved and the operations needed to find the solution.\n",
       "- Perform all calculations accurately, double-checking the results to ensure their correctness.\n",
       "- Clearly present the calculation process step by step, leading to the final answer.\n",
       "- If any intermediate steps are used, clearly indicate these steps as part of the explanation for transparency.\n",
       "```\n",
       "\n",
       "By adding these instructions to the prompt, we can help prevent common calculation mistakes and reinforce the \n",
       "model's attention to detail and accuracy in quantitatively-based tasks.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "Analysis:\n",
       "\n",
       "The current prompt does not seem to include any specific instructions, which makes the analysis of the examples \n",
       "based on the implicit assumption that the tasks are primarily arithmetic word problems requiring the model to \n",
       "perform calculations for the correct outcome.\n",
       "\n",
       "Examples #\u001b[1;36m0\u001b[0m, #\u001b[1;36m1\u001b[0m, #\u001b[1;36m2\u001b[0m, and #\u001b[1;36m3\u001b[0m resulted in correct predictions. This suggests that the model can handle a variety of \n",
       "word problems involving percentages, direct comparisons, and multi-step calculations effectively.\n",
       "\n",
       "Example #\u001b[1;36m4\u001b[0m resulted in an incorrect prediction. The user's provided correct answer indicates that the model made a \n",
       "basic arithmetic mistake by not accounting for the total hours worked across the four weeks appropriately. Instead \n",
       "of calculating the sum of hours for Weeks \u001b[1;36m1\u001b[0m and \u001b[1;36m2\u001b[0m and then the sum for Weeks \u001b[1;36m3\u001b[0m and \u001b[1;36m4\u001b[0m, the model simply gave the \n",
       "difference in hours between individual weeks.\n",
       "\n",
       "Suggested Changes to Prompt:\n",
       "\n",
       "Since the model's performance was adequate for the majority of the examples, the error in Example #\u001b[1;36m4\u001b[0m could be a \n",
       "lapse in calculation rather than a fundamental misunderstanding of the task. Nevertheless, to minimize such errors,\n",
       "it might be beneficial to include in the prompt a reminder to perform careful arithmetic checks. Here is a refined \n",
       "version of the prompt, with added instructions to ensure careful arithmetic and verification of calculations:\n",
       "\n",
       "```\n",
       "For each arithmetic word problem provided:\n",
       "- Carefully identify the quantities involved and the operations needed to find the solution.\n",
       "- Perform all calculations accurately, double-checking the results to ensure their correctness.\n",
       "- Clearly present the calculation process step by step, leading to the final answer.\n",
       "- If any intermediate steps are used, clearly indicate these steps as part of the explanation for transparency.\n",
       "```\n",
       "\n",
       "By adding these instructions to the prompt, we can help prevent common calculation mistakes and reinforce the \n",
       "model's attention to detail and accuracy in quantitatively-based tasks.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "Now please carefully review your reasoning in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and help with Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>.\n",
       "    Example:\n",
       "    - Current prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text.\"</span>\n",
       "    - New prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text. Pay attention to the original style.\"</span>\n",
       "        \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. Reply only with the new prompt. Do not include input and output templates in the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "Now please carefully review your reasoning in Step \u001b[1;36m1\u001b[0m and help with Step \u001b[1;36m2\u001b[0m: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "\u001b[1;36m2\u001b[0m. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step \u001b[1;36m1\u001b[0m.\n",
       "    Example:\n",
       "    - Current prompt: \u001b[32m\"The model should generate a summary of the input text.\"\u001b[0m\n",
       "    - New prompt: \u001b[32m\"The model should generate a summary of the input text. Pay attention to the original style.\"\u001b[0m\n",
       "        \n",
       "\u001b[1;36m3\u001b[0m. Reply only with the new prompt. Do not include input and output templates in the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<span style=\"background-color: lightgreen;\">F</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">:</span><span style=\"background-color: lightgreen;\">\n",
       "</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">A</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">z</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">\n",
       "</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">E</span><span style=\"background-color: lightgreen;\">x</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">\n",
       "</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">V</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">\n",
       "</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">R</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">.</span>"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "\n",
       "=&gt; Iteration #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Getting feedback, analyzing and improving <span style=\"color: #808000; text-decoration-color: #808000\">...</span>\n",
       "</pre>\n"
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       "\n",
       "\n",
       "=> Iteration #\u001b[1;36m1\u001b[0m: Getting feedback, analyzing and improving \u001b[33m...\u001b[0m\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
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       "Applying skill: math_solver\n"
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      "100%|█| 5/5 [00:18<00:00, \n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Predictions and feedback:\n",
       "</pre>\n"
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       "Predictions and feedback:\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">                                                                                                                   \n",
       " <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer__fb             </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> question                                  </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer                                     </span> \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.   The minimum age required to be employed                                                 \n",
       "                           at a company is 25 years. Dara aspires to   Step 1: Analyze the problem                 \n",
       "                           work for the company and will be half the   - Dara's current age is unknown, but it     \n",
       "                           age of Jane in six years. If Jane is        will be half of Jane's age in six years.    \n",
       "                           currently working for the company and is    - Jane's current age is 28 years.           \n",
       "                           28 years old, how long is it before Dara    - The minimum age required to be employed   \n",
       "                           reaches the minimum age required by the     at the company is 25 years.                 \n",
       "                           company to be employed?                     - We need to determine how long it will     \n",
       "                                                                       take for Dara to reach the minimum age      \n",
       "                                                                       required by the company.                    \n",
       "                                                                                                                   \n",
       "                                                                       Step 2: Determine the mathematical          \n",
       "                                                                       operations needed                           \n",
       "                                                                       - We need to find out how many years it     \n",
       "                                                                       will take for Dara to reach the minimum     \n",
       "                                                                       age required by the company.                \n",
       "                                                                       - We will use subtraction to find the age   \n",
       "                                                                       difference between Dara and Jane.           \n",
       "                                                                       - We will use division to find out how      \n",
       "                                                                       many years it will take for Dara to reach   \n",
       "                                                                       the minimum age required by the company.    \n",
       "                                                                                                                   \n",
       "                                                                       Step 3: Execute the necessary calculations  \n",
       "                                                                       - Age difference between Dara and Jane in   \n",
       "                                                                       six years: 28 - (28/2) = 28 - 14 = 14       \n",
       "                                                                       years                                       \n",
       "                                                                       - Years needed for Dara to reach the        \n",
       "                                                                       minimum age required by the company: 25 -   \n",
       "                                                                       14 = 11 years                               \n",
       "                                                                                                                   \n",
       "                                                                       Step 4: Verbally detail each step of your   \n",
       "                                                                       calculation process                         \n",
       "                                                                       - To find the age difference between Dara   \n",
       "                                                                       and Jane in six years, we first need to     \n",
       "                                                                       find out Jane's age in six years. Since     \n",
       "                                                                       Jane is currently 28 years old, her age in  \n",
       "                                                                       six years will be 28 + 6 = 34 years. We     \n",
       "                                                                       then divide this by 2 to find out Dara's    \n",
       "                                                                       age in six years, which is 34/2 = 17        \n",
       "                                                                       years. We then subtract this from Jane's    \n",
       "                                                                       current age of 28 years to find the age     \n",
       "                                                                       difference, which is 28 - 17 = 14 years.    \n",
       "                                                                       - To find out how many years it will take   \n",
       "                                                                       for Dara to reach the minimum age required  \n",
       "                                                                       by the company, we subtract the age         \n",
       "                                                                       difference of 14 years from the minimum     \n",
       "                                                                       age of 25 years, which gives us 25 - 14 =   \n",
       "                                                                       11 years.                                   \n",
       "                                                                                                                   \n",
       "                                                                       Step 5: Review calculations for any         \n",
       "                                                                       possible errors                             \n",
       "                                                                       - It is important to double-check our       \n",
       "                                                                       calculations to ensure accuracy.            \n",
       "                                                                       - In this case, our calculations seem       \n",
       "                                                                       correct and there are no errors.            \n",
       "                                                                                                                   \n",
       "                                                                       Step 6: Final answer                        \n",
       "                                                                       - It will take Dara 11 years to reach the   \n",
       "                                                                       minimum age required by the company to be   \n",
       "                                                                       employed.                                   \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct. </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Patricia has 4 barrels of 7 gallons each. </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> All of them are empty, and there's only   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To solve this problem, we need to use the  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> one faucet with a flow rate of 3.5        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> formula: Time = Volume / Flow rate.        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> gallons per minute. How many minutes will </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> it take to fill all 4 barrels?            </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> First, we need to calculate the total      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> volume of all 4 barrels. Since each barrel </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> has a capacity of 7 gallons, the total     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> volume will be 4 x 7 = 28 gallons.         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Next, we need to divide the total volume   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> by the flow rate of the faucet, which is   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 3.5 gallons per minute. This will give us  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the time it takes to fill all 4 barrels.   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Time = 28 gallons / 3.5 gallons per minute </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> = 8 minutes                                </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, it will take 8 minutes to fill  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> all 4 barrels with a faucet that has a     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> flow rate of 3.5 gallons per minute.       </span> \n",
       "  Prediction is correct.   A park warden has issued 24 citations                                                   \n",
       "                           over the past three hours. He issued the    To solve this problem, we need to use       \n",
       "                           same number for littering as he did for     basic arithmetic operations such as         \n",
       "                           off-leash dogs, and he issued double the    addition, subtraction, and multiplication.  \n",
       "                           number of other citations for parking                                                   \n",
       "                           fines. How many littering citations did     Step 1: Determine the total number of       \n",
       "                           the warden issue?                           citations issued.                           \n",
       "                                                                       Since the park warden issued 24 citations   \n",
       "                                                                       in total, we can represent this as an       \n",
       "                                                                       equation:                                   \n",
       "                                                                       24 = L + O + 2P                             \n",
       "                                                                       where L represents the number of littering  \n",
       "                                                                       citations, O represents the number of       \n",
       "                                                                       off-leash dog citations, and P represents   \n",
       "                                                                       the number of parking citations.            \n",
       "                                                                                                                   \n",
       "                                                                       Step 2: Set up a system of equations.       \n",
       "                                                                       We know that the warden issued the same     \n",
       "                                                                       number of citations for littering as he     \n",
       "                                                                       did for off-leash dogs, so we can set up    \n",
       "                                                                       the following equation:                     \n",
       "                                                                       L = O                                       \n",
       "                                                                       We also know that he issued double the      \n",
       "                                                                       number of other citations for parking       \n",
       "                                                                       fines, so we can set up the following       \n",
       "                                                                       equation:                                   \n",
       "                                                                       P = 2(O + L)                                \n",
       "                                                                                                                   \n",
       "                                                                       Step 3: Substitute the value of L from the  \n",
       "                                                                       first equation into the second equation.    \n",
       "                                                                       P = 2(O + O)                                \n",
       "                                                                       P = 4O                                      \n",
       "                                                                                                                   \n",
       "                                                                       Step 4: Substitute the value of P into the  \n",
       "                                                                       first equation.                             \n",
       "                                                                       24 = O + O + 2(4O)                          \n",
       "                                                                       24 = 2O + 8O                                \n",
       "                                                                       24 = 10O                                    \n",
       "                                                                                                                   \n",
       "                                                                       Step 5: Solve for O.                        \n",
       "                                                                       Dividing both sides by 10, we get:          \n",
       "                                                                       O = 24/10                                   \n",
       "                                                                       O = 2.4                                     \n",
       "                                                                                                                   \n",
       "                                                                       Step 6: Since we cannot have a fraction of  \n",
       "                                                                       a citation, we need to round down to the    \n",
       "                                                                       nearest whole number. Therefore, the        \n",
       "                                                                       warden issued 2 citations for off-leash     \n",
       "                                                                       dogs.                                       \n",
       "                                                                                                                   \n",
       "                                                                       Step 7: Substitute the value of O into the  \n",
       "                                                                       first equation to find the number of        \n",
       "                                                                       littering citations.                        \n",
       "                                                                       L = 2                                       \n",
       "                                                                       Therefore, the warden issued 2 citations    \n",
       "                                                                       for littering as well.                      \n",
       "                                                                                                                   \n",
       "                                                                       Step 8: Substitute the values of O and L    \n",
       "                                                                       into the second equation to find the        \n",
       "                                                                       number of parking citations.                \n",
       "                                                                       P = 2(2 + 2)                                \n",
       "                                                                       P = 8                                       \n",
       "                                                                       Therefore, the warden issued 8 citations    \n",
       "                                                                       for parking fines.                          \n",
       "                                                                                                                   \n",
       "                                                                       Step 9: Check our work.                     \n",
       "                                                                       We can add up the number of citations to    \n",
       "                                                                       make sure it equals 24:                     \n",
       "                                                                       2 + 2 + 8 = 12 + 8 = 20                     \n",
       "                                                                       Since 20 is less than 24, we can conclude   \n",
       "                                                                       that our answer is correct.                 \n",
       "                                                                                                                   \n",
       "                                                                       Step 10: Final answer.                      \n",
       "                                                                       The warden issued 2 citations for           \n",
       "                                                                       littering.                                  \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct. </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Abigail collected 2 boxes of cookies for  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the bake sale. Grayson collected 3        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To solve this problem, we need to add the  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> quarters of a box, and Olivia collected 3 </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> number of cookies collected by each        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> boxes. Assuming that each box contains 48 </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> person. First, we need to convert          </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cookies, how many cookies did they        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Grayson's collection from quarters of a    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> collect in total?                         </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> box to a whole number of boxes. Since      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> there are 4 quarters in a whole, we can    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> divide 3 by 4 to get 0.75. This means      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Grayson collected 0.75 boxes of cookies.   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Next, we can add the number of boxes       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> collected by each person: 2 + 0.75 + 3 =   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 5.75 boxes.                                </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Since each box contains 48 cookies, we can </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> multiply 5.75 by 48 to find the total      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> number of cookies collected: 5.75 x 48 =   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 276 cookies.                               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, Abigail, Grayson, and Olivia    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> collected a total of 276 cookies for the   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> bake sale.                                 </span> \n",
       "  Prediction is correct.   During my workout yesterday, I did 30                                                   \n",
       "                           squats. Each day, I plan to increase my     To solve this problem, we need to use       \n",
       "                           number of squats by 5 more than the         addition and multiplication.                \n",
       "                           previous day. If I do my workout for four                                               \n",
       "                           consecutive days, how many squats will I    Step 1: Determine the number of squats      \n",
       "                           perform the day after tomorrow?             performed on the first day.                 \n",
       "                                                                       Since the problem states that the first     \n",
       "                                                                       day, 30 squats were performed, we can       \n",
       "                                                                       write this as 30.                           \n",
       "                                                                                                                   \n",
       "                                                                       Step 2: Determine the number of squats      \n",
       "                                                                       performed on the second day.                \n",
       "                                                                       To find the number of squats performed on   \n",
       "                                                                       the second day, we need to add 5 more       \n",
       "                                                                       squats to the previous day's number. So,    \n",
       "                                                                       we can write this as 30 + 5 = 35.           \n",
       "                                                                                                                   \n",
       "                                                                       Step 3: Determine the number of squats      \n",
       "                                                                       performed on the third day.                 \n",
       "                                                                       To find the number of squats performed on   \n",
       "                                                                       the third day, we need to add 5 more        \n",
       "                                                                       squats to the previous day's number. So,    \n",
       "                                                                       we can write this as 35 + 5 = 40.           \n",
       "                                                                                                                   \n",
       "                                                                       Step 4: Determine the number of squats      \n",
       "                                                                       performed on the fourth day.                \n",
       "                                                                       To find the number of squats performed on   \n",
       "                                                                       the fourth day, we need to add 5 more       \n",
       "                                                                       squats to the previous day's number. So,    \n",
       "                                                                       we can write this as 40 + 5 = 45.           \n",
       "                                                                                                                   \n",
       "                                                                       Step 5: Determine the number of squats      \n",
       "                                                                       performed on the day after tomorrow.        \n",
       "                                                                       Since the day after tomorrow is the third   \n",
       "                                                                       day, we need to find the number of squats   \n",
       "                                                                       performed on the third day. From step 3,    \n",
       "                                                                       we know that 40 squats were performed on    \n",
       "                                                                       the third day. However, we need to add 5    \n",
       "                                                                       more squats to this number to find the      \n",
       "                                                                       number of squats performed on the day       \n",
       "                                                                       after tomorrow. So, we can write this as    \n",
       "                                                                       40 + 5 = 45.                                \n",
       "                                                                                                                   \n",
       "                                                                       Therefore, the day after tomorrow, you      \n",
       "                                                                       will perform 45 squats.                     \n",
       "                                                                                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "                                                                                                                   \n",
       " \u001b[1;35m \u001b[0m\u001b[1;35manswer__fb            \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35mquestion                                 \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35manswer                                    \u001b[0m\u001b[1;35m \u001b[0m \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.   The minimum age required to be employed                                                 \n",
       "                           at a company is 25 years. Dara aspires to   Step 1: Analyze the problem                 \n",
       "                           work for the company and will be half the   - Dara's current age is unknown, but it     \n",
       "                           age of Jane in six years. If Jane is        will be half of Jane's age in six years.    \n",
       "                           currently working for the company and is    - Jane's current age is 28 years.           \n",
       "                           28 years old, how long is it before Dara    - The minimum age required to be employed   \n",
       "                           reaches the minimum age required by the     at the company is 25 years.                 \n",
       "                           company to be employed?                     - We need to determine how long it will     \n",
       "                                                                       take for Dara to reach the minimum age      \n",
       "                                                                       required by the company.                    \n",
       "                                                                                                                   \n",
       "                                                                       Step 2: Determine the mathematical          \n",
       "                                                                       operations needed                           \n",
       "                                                                       - We need to find out how many years it     \n",
       "                                                                       will take for Dara to reach the minimum     \n",
       "                                                                       age required by the company.                \n",
       "                                                                       - We will use subtraction to find the age   \n",
       "                                                                       difference between Dara and Jane.           \n",
       "                                                                       - We will use division to find out how      \n",
       "                                                                       many years it will take for Dara to reach   \n",
       "                                                                       the minimum age required by the company.    \n",
       "                                                                                                                   \n",
       "                                                                       Step 3: Execute the necessary calculations  \n",
       "                                                                       - Age difference between Dara and Jane in   \n",
       "                                                                       six years: 28 - (28/2) = 28 - 14 = 14       \n",
       "                                                                       years                                       \n",
       "                                                                       - Years needed for Dara to reach the        \n",
       "                                                                       minimum age required by the company: 25 -   \n",
       "                                                                       14 = 11 years                               \n",
       "                                                                                                                   \n",
       "                                                                       Step 4: Verbally detail each step of your   \n",
       "                                                                       calculation process                         \n",
       "                                                                       - To find the age difference between Dara   \n",
       "                                                                       and Jane in six years, we first need to     \n",
       "                                                                       find out Jane's age in six years. Since     \n",
       "                                                                       Jane is currently 28 years old, her age in  \n",
       "                                                                       six years will be 28 + 6 = 34 years. We     \n",
       "                                                                       then divide this by 2 to find out Dara's    \n",
       "                                                                       age in six years, which is 34/2 = 17        \n",
       "                                                                       years. We then subtract this from Jane's    \n",
       "                                                                       current age of 28 years to find the age     \n",
       "                                                                       difference, which is 28 - 17 = 14 years.    \n",
       "                                                                       - To find out how many years it will take   \n",
       "                                                                       for Dara to reach the minimum age required  \n",
       "                                                                       by the company, we subtract the age         \n",
       "                                                                       difference of 14 years from the minimum     \n",
       "                                                                       age of 25 years, which gives us 25 - 14 =   \n",
       "                                                                       11 years.                                   \n",
       "                                                                                                                   \n",
       "                                                                       Step 5: Review calculations for any         \n",
       "                                                                       possible errors                             \n",
       "                                                                       - It is important to double-check our       \n",
       "                                                                       calculations to ensure accuracy.            \n",
       "                                                                       - In this case, our calculations seem       \n",
       "                                                                       correct and there are no errors.            \n",
       "                                                                                                                   \n",
       "                                                                       Step 6: Final answer                        \n",
       "                                                                       - It will take Dara 11 years to reach the   \n",
       "                                                                       minimum age required by the company to be   \n",
       "                                                                       employed.                                   \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mPatricia has 4 barrels of 7 gallons each.\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mAll of them are empty, and there's only  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo solve this problem, we need to use the \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mone faucet with a flow rate of 3.5       \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mformula: Time = Volume / Flow rate.       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mgallons per minute. How many minutes will\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mit take to fill all 4 barrels?           \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mFirst, we need to calculate the total     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mvolume of all 4 barrels. Since each barrel\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mhas a capacity of 7 gallons, the total    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mvolume will be 4 x 7 = 28 gallons.        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mNext, we need to divide the total volume  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mby the flow rate of the faucet, which is  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m3.5 gallons per minute. This will give us \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe time it takes to fill all 4 barrels.  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mTime = 28 gallons / 3.5 gallons per minute\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m= 8 minutes                               \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, it will take 8 minutes to fill \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mall 4 barrels with a faucet that has a    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mflow rate of 3.5 gallons per minute.      \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.   A park warden has issued 24 citations                                                   \n",
       "                           over the past three hours. He issued the    To solve this problem, we need to use       \n",
       "                           same number for littering as he did for     basic arithmetic operations such as         \n",
       "                           off-leash dogs, and he issued double the    addition, subtraction, and multiplication.  \n",
       "                           number of other citations for parking                                                   \n",
       "                           fines. How many littering citations did     Step 1: Determine the total number of       \n",
       "                           the warden issue?                           citations issued.                           \n",
       "                                                                       Since the park warden issued 24 citations   \n",
       "                                                                       in total, we can represent this as an       \n",
       "                                                                       equation:                                   \n",
       "                                                                       24 = L + O + 2P                             \n",
       "                                                                       where L represents the number of littering  \n",
       "                                                                       citations, O represents the number of       \n",
       "                                                                       off-leash dog citations, and P represents   \n",
       "                                                                       the number of parking citations.            \n",
       "                                                                                                                   \n",
       "                                                                       Step 2: Set up a system of equations.       \n",
       "                                                                       We know that the warden issued the same     \n",
       "                                                                       number of citations for littering as he     \n",
       "                                                                       did for off-leash dogs, so we can set up    \n",
       "                                                                       the following equation:                     \n",
       "                                                                       L = O                                       \n",
       "                                                                       We also know that he issued double the      \n",
       "                                                                       number of other citations for parking       \n",
       "                                                                       fines, so we can set up the following       \n",
       "                                                                       equation:                                   \n",
       "                                                                       P = 2(O + L)                                \n",
       "                                                                                                                   \n",
       "                                                                       Step 3: Substitute the value of L from the  \n",
       "                                                                       first equation into the second equation.    \n",
       "                                                                       P = 2(O + O)                                \n",
       "                                                                       P = 4O                                      \n",
       "                                                                                                                   \n",
       "                                                                       Step 4: Substitute the value of P into the  \n",
       "                                                                       first equation.                             \n",
       "                                                                       24 = O + O + 2(4O)                          \n",
       "                                                                       24 = 2O + 8O                                \n",
       "                                                                       24 = 10O                                    \n",
       "                                                                                                                   \n",
       "                                                                       Step 5: Solve for O.                        \n",
       "                                                                       Dividing both sides by 10, we get:          \n",
       "                                                                       O = 24/10                                   \n",
       "                                                                       O = 2.4                                     \n",
       "                                                                                                                   \n",
       "                                                                       Step 6: Since we cannot have a fraction of  \n",
       "                                                                       a citation, we need to round down to the    \n",
       "                                                                       nearest whole number. Therefore, the        \n",
       "                                                                       warden issued 2 citations for off-leash     \n",
       "                                                                       dogs.                                       \n",
       "                                                                                                                   \n",
       "                                                                       Step 7: Substitute the value of O into the  \n",
       "                                                                       first equation to find the number of        \n",
       "                                                                       littering citations.                        \n",
       "                                                                       L = 2                                       \n",
       "                                                                       Therefore, the warden issued 2 citations    \n",
       "                                                                       for littering as well.                      \n",
       "                                                                                                                   \n",
       "                                                                       Step 8: Substitute the values of O and L    \n",
       "                                                                       into the second equation to find the        \n",
       "                                                                       number of parking citations.                \n",
       "                                                                       P = 2(2 + 2)                                \n",
       "                                                                       P = 8                                       \n",
       "                                                                       Therefore, the warden issued 8 citations    \n",
       "                                                                       for parking fines.                          \n",
       "                                                                                                                   \n",
       "                                                                       Step 9: Check our work.                     \n",
       "                                                                       We can add up the number of citations to    \n",
       "                                                                       make sure it equals 24:                     \n",
       "                                                                       2 + 2 + 8 = 12 + 8 = 20                     \n",
       "                                                                       Since 20 is less than 24, we can conclude   \n",
       "                                                                       that our answer is correct.                 \n",
       "                                                                                                                   \n",
       "                                                                       Step 10: Final answer.                      \n",
       "                                                                       The warden issued 2 citations for           \n",
       "                                                                       littering.                                  \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mAbigail collected 2 boxes of cookies for \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe bake sale. Grayson collected 3       \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo solve this problem, we need to add the \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mquarters of a box, and Olivia collected 3\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mnumber of cookies collected by each       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mboxes. Assuming that each box contains 48\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mperson. First, we need to convert         \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mcookies, how many cookies did they       \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mGrayson's collection from quarters of a   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m \u001b[0m\u001b[2mcollect in total?                        \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mbox to a whole number of boxes. Since     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mthere are 4 quarters in a whole, we can   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mdivide 3 by 4 to get 0.75. This means     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mGrayson collected 0.75 boxes of cookies.  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mNext, we can add the number of boxes      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mcollected by each person: 2 + 0.75 + 3 =  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m5.75 boxes.                               \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mSince each box contains 48 cookies, we can\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mmultiply 5.75 by 48 to find the total     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mnumber of cookies collected: 5.75 x 48 =  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m276 cookies.                              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, Abigail, Grayson, and Olivia   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mcollected a total of 276 cookies for the  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                        \u001b[0m \u001b[2m                                           \u001b[0m \u001b[2m \u001b[0m\u001b[2mbake sale.                                \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.   During my workout yesterday, I did 30                                                   \n",
       "                           squats. Each day, I plan to increase my     To solve this problem, we need to use       \n",
       "                           number of squats by 5 more than the         addition and multiplication.                \n",
       "                           previous day. If I do my workout for four                                               \n",
       "                           consecutive days, how many squats will I    Step 1: Determine the number of squats      \n",
       "                           perform the day after tomorrow?             performed on the first day.                 \n",
       "                                                                       Since the problem states that the first     \n",
       "                                                                       day, 30 squats were performed, we can       \n",
       "                                                                       write this as 30.                           \n",
       "                                                                                                                   \n",
       "                                                                       Step 2: Determine the number of squats      \n",
       "                                                                       performed on the second day.                \n",
       "                                                                       To find the number of squats performed on   \n",
       "                                                                       the second day, we need to add 5 more       \n",
       "                                                                       squats to the previous day's number. So,    \n",
       "                                                                       we can write this as 30 + 5 = 35.           \n",
       "                                                                                                                   \n",
       "                                                                       Step 3: Determine the number of squats      \n",
       "                                                                       performed on the third day.                 \n",
       "                                                                       To find the number of squats performed on   \n",
       "                                                                       the third day, we need to add 5 more        \n",
       "                                                                       squats to the previous day's number. So,    \n",
       "                                                                       we can write this as 35 + 5 = 40.           \n",
       "                                                                                                                   \n",
       "                                                                       Step 4: Determine the number of squats      \n",
       "                                                                       performed on the fourth day.                \n",
       "                                                                       To find the number of squats performed on   \n",
       "                                                                       the fourth day, we need to add 5 more       \n",
       "                                                                       squats to the previous day's number. So,    \n",
       "                                                                       we can write this as 40 + 5 = 45.           \n",
       "                                                                                                                   \n",
       "                                                                       Step 5: Determine the number of squats      \n",
       "                                                                       performed on the day after tomorrow.        \n",
       "                                                                       Since the day after tomorrow is the third   \n",
       "                                                                       day, we need to find the number of squats   \n",
       "                                                                       performed on the third day. From step 3,    \n",
       "                                                                       we know that 40 squats were performed on    \n",
       "                                                                       the third day. However, we need to add 5    \n",
       "                                                                       more squats to this number to find the      \n",
       "                                                                       number of squats performed on the day       \n",
       "                                                                       after tomorrow. So, we can write this as    \n",
       "                                                                       40 + 5 = 45.                                \n",
       "                                                                                                                   \n",
       "                                                                       Therefore, the day after tomorrow, you      \n",
       "                                                                       will perform 45 squats.                     \n",
       "                                                                                                                   \n"
      ]
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">No skill to improve found. Continue learning<span style=\"color: #808000; text-decoration-color: #808000\">...</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "No skill to improve found. Continue learning\u001b[33m...\u001b[0m\n"
      ]
     },
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     "output_type": "display_data"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "\n",
       "=&gt; Iteration #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Getting feedback, analyzing and improving <span style=\"color: #808000; text-decoration-color: #808000\">...</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n",
       "\n",
       "=> Iteration #\u001b[1;36m2\u001b[0m: Getting feedback, analyzing and improving \u001b[33m...\u001b[0m\n"
      ]
     },
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     "output_type": "display_data"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Applying skill: math_solver\n"
      ]
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     "output_type": "display_data"
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     "text": [
      "100%|█| 5/5 [00:12<00:00, \n"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Predictions and feedback:\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Predictions and feedback:\n"
      ]
     },
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     "output_type": "display_data"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">                                                                                                                   \n",
       " <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer__fb                          </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> question                            </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer                              </span> \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.                Ann, Bill, Cate, and Dale each buy                                         \n",
       "                                        personal pan pizzas cut into 4        To solve this problem, we need to    \n",
       "                                        pieces. If Bill and Dale eat 50% of   first determine the total number of  \n",
       "                                        their pizzas and Ann and Cate eat     pizza pieces that were bought.       \n",
       "                                        75% of the pizzas, how many pizza     Since each person bought a personal  \n",
       "                                        pieces are left uneaten?              pan pizza cut into 4 pieces, we can  \n",
       "                                                                              calculate the total number of        \n",
       "                                                                              pieces by multiplying 4 by the       \n",
       "                                                                              number of people, which is 4. This   \n",
       "                                                                              gives us a total of 16 pizza         \n",
       "                                                                              pieces.                              \n",
       "                                                                                                                   \n",
       "                                                                              Next, we need to calculate how many  \n",
       "                                                                              pieces were eaten by each person.    \n",
       "                                                                              Bill and Dale each ate 50% of their  \n",
       "                                                                              pizzas, which is equivalent to 2     \n",
       "                                                                              pieces each (50% of 4 pieces is 2    \n",
       "                                                                              pieces). Ann and Cate each ate 75%   \n",
       "                                                                              of their pizzas, which is            \n",
       "                                                                              equivalent to 3 pieces each (75% of  \n",
       "                                                                              4 pieces is 3 pieces).               \n",
       "                                                                                                                   \n",
       "                                                                              To find the total number of pieces   \n",
       "                                                                              eaten, we can add up the pieces      \n",
       "                                                                              eaten by each person: 2 + 2 + 3 + 3  \n",
       "                                                                              = 10 pieces.                         \n",
       "                                                                                                                   \n",
       "                                                                              Finally, to find the number of       \n",
       "                                                                              pieces left uneaten, we can          \n",
       "                                                                              subtract the total number of pieces  \n",
       "                                                                              eaten from the total number of       \n",
       "                                                                              pieces bought: 16 - 10 = 6 pieces.   \n",
       "                                                                                                                   \n",
       "                                                                              Therefore, there are 6 pizza pieces  \n",
       "                                                                              left uneaten.                        \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> John plays paintball 3 times a      </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> month.  Each time he plays he buys  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To determine how much John spends   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 3 boxes of paintballs.  They cost   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> on paintballs in a month, we need   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $25 per box.  How much does he      </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> to multiply the number of times he  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> spend a month on paintballs?        </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> plays by the number of boxes he     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> buys each time, and then multiply   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> that by the cost per box.           </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 1: Determine the number of     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> boxes John buys in a month.         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Since John plays paintball 3 times  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> a month and buys 3 boxes each time, </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> we can multiply 3 by 3 to get the   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total number of boxes he buys in a  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> month: 3 x 3 = 9 boxes.             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 2: Determine the cost of 9     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> boxes of paintballs.                </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Each box costs $25, so we can       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> multiply 9 by $25 to get the total  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cost of 9 boxes: 9 x $25 = $225.    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, John spends $225 a month </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> on paintballs.                      </span> \n",
       "  Prediction is correct.                On Monday Elisa paints 30 square                                           \n",
       "                                        feet of her house's walls. On         To solve this problem, we need to    \n",
       "                                        Tuesday she paints twice that         use the operations of addition,      \n",
       "                                        amount. On Wednesday she finishes     multiplication, and division.        \n",
       "                                        up by painting half as many square                                         \n",
       "                                        feet as she painted on Monday. How    Step 1: Analyze the problem          \n",
       "                                        many square feet total does Elisa     We are given that Elisa paints 30    \n",
       "                                        paint in her house?                   square feet on Monday, twice that    \n",
       "                                                                              amount on Tuesday, and half of       \n",
       "                                                                              Monday's amount on Wednesday. We     \n",
       "                                                                              need to find the total amount of     \n",
       "                                                                              square feet she paints in her        \n",
       "                                                                              house.                               \n",
       "                                                                                                                   \n",
       "                                                                              Step 2: Calculate the amount         \n",
       "                                                                              painted on Tuesday                   \n",
       "                                                                              Since Elisa paints twice the amount  \n",
       "                                                                              on Tuesday as she did on Monday, we  \n",
       "                                                                              can calculate this by multiplying    \n",
       "                                                                              30 by 2.                             \n",
       "                                                                              30 x 2 = 60 square feet              \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Calculate the amount         \n",
       "                                                                              painted on Wednesday                 \n",
       "                                                                              On Wednesday, Elisa paints half of   \n",
       "                                                                              what she painted on Monday. We can   \n",
       "                                                                              calculate this by dividing 30 by 2.  \n",
       "                                                                              30 ÷ 2 = 15 square feet              \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Calculate the total amount   \n",
       "                                                                              painted                              \n",
       "                                                                              To find the total amount of square   \n",
       "                                                                              feet painted, we need to add the     \n",
       "                                                                              amounts from each day.               \n",
       "                                                                              30 + 60 + 15 = 105 square feet       \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Final answer                 \n",
       "                                                                              Elisa painted a total of 105 square  \n",
       "                                                                              feet in her house.                   \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is incorrect. Correct    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> In 7 years, Kaylee will be 3 times  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> answer: \"In 7 years, Kaylee will be </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> as old as Matt is now. If Matt is   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To solve this problem, we need to   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 5 * 3 = &lt;&lt;5*3=15&gt;&gt;15 years old      </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> currently 5 years old, how old is   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> use the concept of ratios and       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Let x be the age Kaylee is now.     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Kaylee now?                         </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> proportions. We know that in 7      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> After 7 years, Kaylle will be 15    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> years, Kaylee will be 3 times as    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> years old, so x + 7 = 15            </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> old as Matt is now. This means that </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x = 15 - 7                          </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the ratio of Kaylee's age to Matt's </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x = &lt;&lt;8=8&gt;&gt;8 years old              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> age in 7 years will be 3:1.         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> #### 8\"                             </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Let's represent Kaylee's current    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> age as x. This means that in 7      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> years, her age will be x+7.         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Similarly, Matt's current age is 5, </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> so in 7 years, his age will be      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 5+7=12.                             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Now, we can set up a proportion to  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> solve for x:                        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> (x+7)/12 = 3/1                      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To solve for x, we can              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cross-multiply:                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 1(x+7) = 3(12)                      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x+7 = 36                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x = 36-7                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x = 29                              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, Kaylee's current age is  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 29 years old.                       </span> \n",
       "  Prediction is correct.                Toby is filling his swimming pool                                          \n",
       "                                        for the summer. The pool normally     To determine the cost of filling     \n",
       "                                        takes 50 hours to fill. He knows      Toby's swimming pool, we need to     \n",
       "                                        his hose runs at 100 gallons per      calculate the total number of        \n",
       "                                        hour. Water costs 1 cent for 10       gallons of water needed and then     \n",
       "                                        gallons. How many dollars does it     convert it to dollars.               \n",
       "                                        cost to fill the pool?                                                     \n",
       "                                                                              Step 1: Calculate the total number   \n",
       "                                                                              of gallons needed to fill the pool.  \n",
       "                                                                              Since Toby's hose runs at 100        \n",
       "                                                                              gallons per hour and the pool takes  \n",
       "                                                                              50 hours to fill, we can multiply    \n",
       "                                                                              100 by 50 to get the total number    \n",
       "                                                                              of gallons needed.                   \n",
       "                                                                              100 x 50 = 5000 gallons              \n",
       "                                                                                                                   \n",
       "                                                                              Step 2: Convert gallons to dollars.  \n",
       "                                                                              We know that 1 cent is equivalent    \n",
       "                                                                              to 10 gallons of water. Therefore,   \n",
       "                                                                              we can divide the total number of    \n",
       "                                                                              gallons by 10 to get the cost in     \n",
       "                                                                              cents.                               \n",
       "                                                                              5000 gallons / 10 = 500 cents        \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Convert cents to dollars.    \n",
       "                                                                              To convert cents to dollars, we      \n",
       "                                                                              need to divide the number of cents   \n",
       "                                                                              by 100.                              \n",
       "                                                                              500 cents / 100 = $5                 \n",
       "                                                                                                                   \n",
       "                                                                              Therefore, it will cost Toby $5 to   \n",
       "                                                                              fill his swimming pool for the       \n",
       "                                                                              summer.                              \n",
       "                                                                                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "                                                                                                                   \n",
       " \u001b[1;35m \u001b[0m\u001b[1;35manswer__fb                         \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35mquestion                           \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35manswer                             \u001b[0m\u001b[1;35m \u001b[0m \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.                Ann, Bill, Cate, and Dale each buy                                         \n",
       "                                        personal pan pizzas cut into 4        To solve this problem, we need to    \n",
       "                                        pieces. If Bill and Dale eat 50% of   first determine the total number of  \n",
       "                                        their pizzas and Ann and Cate eat     pizza pieces that were bought.       \n",
       "                                        75% of the pizzas, how many pizza     Since each person bought a personal  \n",
       "                                        pieces are left uneaten?              pan pizza cut into 4 pieces, we can  \n",
       "                                                                              calculate the total number of        \n",
       "                                                                              pieces by multiplying 4 by the       \n",
       "                                                                              number of people, which is 4. This   \n",
       "                                                                              gives us a total of 16 pizza         \n",
       "                                                                              pieces.                              \n",
       "                                                                                                                   \n",
       "                                                                              Next, we need to calculate how many  \n",
       "                                                                              pieces were eaten by each person.    \n",
       "                                                                              Bill and Dale each ate 50% of their  \n",
       "                                                                              pizzas, which is equivalent to 2     \n",
       "                                                                              pieces each (50% of 4 pieces is 2    \n",
       "                                                                              pieces). Ann and Cate each ate 75%   \n",
       "                                                                              of their pizzas, which is            \n",
       "                                                                              equivalent to 3 pieces each (75% of  \n",
       "                                                                              4 pieces is 3 pieces).               \n",
       "                                                                                                                   \n",
       "                                                                              To find the total number of pieces   \n",
       "                                                                              eaten, we can add up the pieces      \n",
       "                                                                              eaten by each person: 2 + 2 + 3 + 3  \n",
       "                                                                              = 10 pieces.                         \n",
       "                                                                                                                   \n",
       "                                                                              Finally, to find the number of       \n",
       "                                                                              pieces left uneaten, we can          \n",
       "                                                                              subtract the total number of pieces  \n",
       "                                                                              eaten from the total number of       \n",
       "                                                                              pieces bought: 16 - 10 = 6 pieces.   \n",
       "                                                                                                                   \n",
       "                                                                              Therefore, there are 6 pizza pieces  \n",
       "                                                                              left uneaten.                        \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mJohn plays paintball 3 times a     \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmonth.  Each time he plays he buys \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo determine how much John spends  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m3 boxes of paintballs.  They cost  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mon paintballs in a month, we need  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$25 per box.  How much does he     \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mto multiply the number of times he \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mspend a month on paintballs?       \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mplays by the number of boxes he    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mbuys each time, and then multiply  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthat by the cost per box.          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 1: Determine the number of    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mboxes John buys in a month.        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mSince John plays paintball 3 times \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2ma month and buys 3 boxes each time,\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mwe can multiply 3 by 3 to get the  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal number of boxes he buys in a \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmonth: 3 x 3 = 9 boxes.            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 2: Determine the cost of 9    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mboxes of paintballs.               \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mEach box costs $25, so we can      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmultiply 9 by $25 to get the total \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcost of 9 boxes: 9 x $25 = $225.   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, John spends $225 a month\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mon paintballs.                     \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.                On Monday Elisa paints 30 square                                           \n",
       "                                        feet of her house's walls. On         To solve this problem, we need to    \n",
       "                                        Tuesday she paints twice that         use the operations of addition,      \n",
       "                                        amount. On Wednesday she finishes     multiplication, and division.        \n",
       "                                        up by painting half as many square                                         \n",
       "                                        feet as she painted on Monday. How    Step 1: Analyze the problem          \n",
       "                                        many square feet total does Elisa     We are given that Elisa paints 30    \n",
       "                                        paint in her house?                   square feet on Monday, twice that    \n",
       "                                                                              amount on Tuesday, and half of       \n",
       "                                                                              Monday's amount on Wednesday. We     \n",
       "                                                                              need to find the total amount of     \n",
       "                                                                              square feet she paints in her        \n",
       "                                                                              house.                               \n",
       "                                                                                                                   \n",
       "                                                                              Step 2: Calculate the amount         \n",
       "                                                                              painted on Tuesday                   \n",
       "                                                                              Since Elisa paints twice the amount  \n",
       "                                                                              on Tuesday as she did on Monday, we  \n",
       "                                                                              can calculate this by multiplying    \n",
       "                                                                              30 by 2.                             \n",
       "                                                                              30 x 2 = 60 square feet              \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Calculate the amount         \n",
       "                                                                              painted on Wednesday                 \n",
       "                                                                              On Wednesday, Elisa paints half of   \n",
       "                                                                              what she painted on Monday. We can   \n",
       "                                                                              calculate this by dividing 30 by 2.  \n",
       "                                                                              30 ÷ 2 = 15 square feet              \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Calculate the total amount   \n",
       "                                                                              painted                              \n",
       "                                                                              To find the total amount of square   \n",
       "                                                                              feet painted, we need to add the     \n",
       "                                                                              amounts from each day.               \n",
       "                                                                              30 + 60 + 15 = 105 square feet       \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Final answer                 \n",
       "                                                                              Elisa painted a total of 105 square  \n",
       "                                                                              feet in her house.                   \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is incorrect. Correct   \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mIn 7 years, Kaylee will be 3 times \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2manswer: \"In 7 years, Kaylee will be\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mas old as Matt is now. If Matt is  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo solve this problem, we need to  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2m5 * 3 = <<5*3=15>>15 years old     \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mcurrently 5 years old, how old is  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2muse the concept of ratios and      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2mLet x be the age Kaylee is now.    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mKaylee now?                        \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mproportions. We know that in 7     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2mAfter 7 years, Kaylle will be 15   \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2myears, Kaylee will be 3 times as   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2myears old, so x + 7 = 15           \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mold as Matt is now. This means that\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2mx = 15 - 7                         \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe ratio of Kaylee's age to Matt's\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2mx = <<8=8>>8 years old             \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mage in 7 years will be 3:1.        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m \u001b[0m\u001b[2m#### 8\"                            \u001b[0m\u001b[2m \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mLet's represent Kaylee's current   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mage as x. This means that in 7     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2myears, her age will be x+7.        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mSimilarly, Matt's current age is 5,\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mso in 7 years, his age will be     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m5+7=12.                            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mNow, we can set up a proportion to \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msolve for x:                       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m(x+7)/12 = 3/1                     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo solve for x, we can             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcross-multiply:                    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m1(x+7) = 3(12)                     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mx+7 = 36                           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mx = 36-7                           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mx = 29                             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, Kaylee's current age is \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m29 years old.                      \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.                Toby is filling his swimming pool                                          \n",
       "                                        for the summer. The pool normally     To determine the cost of filling     \n",
       "                                        takes 50 hours to fill. He knows      Toby's swimming pool, we need to     \n",
       "                                        his hose runs at 100 gallons per      calculate the total number of        \n",
       "                                        hour. Water costs 1 cent for 10       gallons of water needed and then     \n",
       "                                        gallons. How many dollars does it     convert it to dollars.               \n",
       "                                        cost to fill the pool?                                                     \n",
       "                                                                              Step 1: Calculate the total number   \n",
       "                                                                              of gallons needed to fill the pool.  \n",
       "                                                                              Since Toby's hose runs at 100        \n",
       "                                                                              gallons per hour and the pool takes  \n",
       "                                                                              50 hours to fill, we can multiply    \n",
       "                                                                              100 by 50 to get the total number    \n",
       "                                                                              of gallons needed.                   \n",
       "                                                                              100 x 50 = 5000 gallons              \n",
       "                                                                                                                   \n",
       "                                                                              Step 2: Convert gallons to dollars.  \n",
       "                                                                              We know that 1 cent is equivalent    \n",
       "                                                                              to 10 gallons of water. Therefore,   \n",
       "                                                                              we can divide the total number of    \n",
       "                                                                              gallons by 10 to get the cost in     \n",
       "                                                                              cents.                               \n",
       "                                                                              5000 gallons / 10 = 500 cents        \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Convert cents to dollars.    \n",
       "                                                                              To convert cents to dollars, we      \n",
       "                                                                              need to divide the number of cents   \n",
       "                                                                              by 100.                              \n",
       "                                                                              500 cents / 100 = $5                 \n",
       "                                                                                                                   \n",
       "                                                                              Therefore, it will cost Toby $5 to   \n",
       "                                                                              fill his swimming pool for the       \n",
       "                                                                              summer.                              \n",
       "                                                                                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Output to improve: </span><span style=\"color: #008000; text-decoration-color: #008000\">\"answer\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\"> (</span><span style=\"color: #808000; text-decoration-color: #808000; font-weight: bold\">Skill</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">=</span><span style=\"color: #008000; text-decoration-color: #008000\">\"math_solver\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span>\n",
       "<span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Accuracy = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80.00</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">%</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1;31mOutput to improve: \u001b[0m\u001b[32m\"answer\"\u001b[0m\u001b[1;31m \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;33mSkill\u001b[0m\u001b[1;31m=\u001b[0m\u001b[32m\"math_solver\"\u001b[0m\u001b[1;31m)\u001b[0m\n",
       "\u001b[1;31mAccuracy = \u001b[0m\u001b[1;36m80.00\u001b[0m\u001b[1;31m%\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{system}\"</span>:\n",
       "You are a helpful assistant.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32msystem\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "You are a helpful assistant.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model <span style=\"font-weight: bold\">(</span>LLM<span style=\"font-weight: bold\">)</span> to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: <span style=\"font-weight: bold\">{</span>question<span style=\"font-weight: bold\">}</span>\n",
       "<span style=\"font-weight: bold\">{</span>prompt<span style=\"font-weight: bold\">}</span>\n",
       "A: <span style=\"font-weight: bold\">{</span>answer<span style=\"font-weight: bold\">}</span>\n",
       "```\n",
       "\n",
       "Here:\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"Q: {question}\"</span> is input template,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"{prompt}\"</span> is the LLM prompt,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"A: {answer}\"</span> is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "Next, you will carefully review your reasoning in step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model \u001b[1m(\u001b[0mLLM\u001b[1m)\u001b[0m to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: \u001b[1m{\u001b[0mquestion\u001b[1m}\u001b[0m\n",
       "\u001b[1m{\u001b[0mprompt\u001b[1m}\u001b[0m\n",
       "A: \u001b[1m{\u001b[0manswer\u001b[1m}\u001b[0m\n",
       "```\n",
       "\n",
       "Here:\n",
       "- \u001b[32m\"Q: \u001b[0m\u001b[32m{\u001b[0m\u001b[32mquestion\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is input template,\n",
       "- \u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32mprompt\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the LLM prompt,\n",
       "- \u001b[32m\"A: \u001b[0m\u001b[32m{\u001b[0m\u001b[32manswer\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step \u001b[1;36m1\u001b[0m\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step \u001b[1;36m2\u001b[0m\n",
       "Next, you will carefully review your reasoning in step \u001b[1;36m1\u001b[0m, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Analyze the problem to determine the mathematical operations needed for a solution.\n",
       "- Execute the necessary calculations meticulously, ensuring all arithmetic is correct.\n",
       "- Verbally detail each step of your calculation process to clarify how you arrive at the final answer.\n",
       "- Review your calculations for any possible errors before providing the final answer to ensure accuracy.\n",
       "\n",
       "## Examples\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>\n",
       "\n",
       "Q: Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> pieces. If Bill and Dale eat <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% of their \n",
       "pizzas and Ann and Cate eat <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">75</span>% of the pizzas, how many pizza pieces are left uneaten?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to first determine the total number of pizza pieces that were bought. Since each \n",
       "person bought a personal pan pizza cut into <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> pieces, we can calculate the total number of pieces by multiplying <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> \n",
       "by the number of people, which is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>. This gives us a total of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span> pizza pieces.\n",
       "\n",
       "Next, we need to calculate how many pieces were eaten by each person. Bill and Dale each ate <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% of their pizzas, \n",
       "which is equivalent to <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> pieces each <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> pieces is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> pieces<span style=\"font-weight: bold\">)</span>. Ann and Cate each ate <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">75</span>% of their pizzas, \n",
       "which is equivalent to <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> pieces each <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">75</span>% of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> pieces is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> pieces<span style=\"font-weight: bold\">)</span>.\n",
       "\n",
       "To find the total number of pieces eaten, we can add up the pieces eaten by each person: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> pieces.\n",
       "\n",
       "Finally, to find the number of pieces left uneaten, we can subtract the total number of pieces eaten from the total\n",
       "number of pieces bought: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span> - <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> pieces.\n",
       "\n",
       "Therefore, there are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> pizza pieces left uneaten.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "\n",
       "Q: John plays paintball <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> times a month.  Each time he plays he buys <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> boxes of paintballs.  They cost $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span> per box.\n",
       "How much does he spend a month on paintballs?\n",
       "\n",
       "A: \n",
       "To determine how much John spends on paintballs in a month, we need to multiply the number of times he plays by the\n",
       "number of boxes he buys each time, and then multiply that by the cost per box.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Determine the number of boxes John buys in a month.\n",
       "Since John plays paintball <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> times a month and buys <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> boxes each time, we can multiply <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> to get the total \n",
       "number of boxes he buys in a month: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> boxes.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> boxes of paintballs.\n",
       "Each box costs $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span>, so we can multiply <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> by $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span> to get the total cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> boxes: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">225</span>.\n",
       "\n",
       "Therefore, John spends $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">225</span> a month on paintballs.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "\n",
       "Q: On Monday Elisa paints <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> square feet of her house's walls. On Tuesday she paints twice that amount. On \n",
       "Wednesday she finishes up by painting half as many square feet as she painted on Monday. How many square feet total\n",
       "does Elisa paint in her house?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to use the operations of addition, multiplication, and division.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Analyze the problem\n",
       "We are given that Elisa paints <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> square feet on Monday, twice that amount on Tuesday, and half of Monday's amount \n",
       "on Wednesday. We need to find the total amount of square feet she paints in her house.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Calculate the amount painted on Tuesday\n",
       "Since Elisa paints twice the amount on Tuesday as she did on Monday, we can calculate this by multiplying <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span> square feet\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Calculate the amount painted on Wednesday\n",
       "On Wednesday, Elisa paints half of what she painted on Monday. We can calculate this by dividing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> ÷ <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span> square feet\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Calculate the total amount painted\n",
       "To find the total amount of square feet painted, we need to add the amounts from each day.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">30</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">105</span> square feet\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Final answer\n",
       "Elisa painted a total of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">105</span> square feet in her house.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>\n",
       "\n",
       "Q: In <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years, Kaylee will be <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> times as old as Matt is now. If Matt is currently <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> years old, how old is Kaylee \n",
       "now?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to use the concept of ratios and proportions. We know that in <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years, Kaylee will \n",
       "be <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> times as old as Matt is now. This means that the ratio of Kaylee's age to Matt's age in <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years will be <span style=\"color: #00ff00; text-decoration-color: #00ff00; font-weight: bold\">3:1</span>. \n",
       "\n",
       "Let's represent Kaylee's current age as x. This means that in <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years, her age will be x+<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span>. Similarly, Matt's \n",
       "current age is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>, so in <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years, his age will be <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>+<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span>=<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span>. \n",
       "\n",
       "Now, we can set up a proportion to solve for x:\n",
       "<span style=\"font-weight: bold\">(</span>x+<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"font-weight: bold\">)</span><span style=\"color: #800080; text-decoration-color: #800080\">/</span><span style=\"color: #ff00ff; text-decoration-color: #ff00ff\">12</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>/<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "\n",
       "To solve for x, we can cross-multiply:\n",
       "<span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">1</span><span style=\"font-weight: bold\">(</span>x+<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"font-weight: bold\">)</span> = <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\">3</span><span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span><span style=\"font-weight: bold\">)</span>\n",
       "x+<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">36</span>\n",
       "x = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">36</span>-<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span>\n",
       "x = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">29</span>\n",
       "\n",
       "Therefore, Kaylee's current age is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">29</span> years old.\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"In <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years, Kaylee will be <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> * <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> = <span style=\"font-weight: bold\">&lt;</span><span style=\"color: #000000; text-decoration-color: #000000\">&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span><span style=\"color: #000000; text-decoration-color: #000000\">*</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span><span style=\"color: #000000; text-decoration-color: #000000\"> years old</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Let x be the age Kaylee is now.</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">After </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"color: #000000; text-decoration-color: #000000\"> years, Kaylle will be </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span><span style=\"color: #000000; text-decoration-color: #000000\"> years old, so x + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"color: #000000; text-decoration-color: #000000\"> = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">x = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span><span style=\"color: #000000; text-decoration-color: #000000\"> - </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">x = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;</span><span style=\"font-weight: bold\">&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> years old\n",
       "#### <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span>\"\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>\n",
       "\n",
       "Q: Toby is filling his swimming pool for the summer. The pool normally takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span> hours to fill. He knows his hose \n",
       "runs at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> gallons per hour. Water costs <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> cent for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> gallons. How many dollars does it cost to fill the pool?\n",
       "\n",
       "A: \n",
       "To determine the cost of filling Toby's swimming pool, we need to calculate the total number of gallons of water \n",
       "needed and then convert it to dollars.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Calculate the total number of gallons needed to fill the pool.\n",
       "Since Toby's hose runs at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> gallons per hour and the pool takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span> hours to fill, we can multiply <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span> to \n",
       "get the total number of gallons needed.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5000</span> gallons\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Convert gallons to dollars.\n",
       "We know that <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> cent is equivalent to <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> gallons of water. Therefore, we can divide the total number of gallons by \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> to get the cost in cents.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5000</span> gallons <span style=\"color: #800080; text-decoration-color: #800080\">/</span> <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">500</span> cents\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Convert cents to dollars.\n",
       "To convert cents to dollars, we need to divide the number of cents by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span>.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">500</span> cents <span style=\"color: #800080; text-decoration-color: #800080\">/</span> <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>\n",
       "\n",
       "Therefore, it will cost Toby $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> to fill his swimming pool for the summer.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Analyze the problem to determine the mathematical operations needed for a solution.\n",
       "- Execute the necessary calculations meticulously, ensuring all arithmetic is correct.\n",
       "- Verbally detail each step of your calculation process to clarify how you arrive at the final answer.\n",
       "- Review your calculations for any possible errors before providing the final answer to ensure accuracy.\n",
       "\n",
       "## Examples\n",
       "### Example #\u001b[1;36m0\u001b[0m\n",
       "\n",
       "Q: Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into \u001b[1;36m4\u001b[0m pieces. If Bill and Dale eat \u001b[1;36m50\u001b[0m% of their \n",
       "pizzas and Ann and Cate eat \u001b[1;36m75\u001b[0m% of the pizzas, how many pizza pieces are left uneaten?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to first determine the total number of pizza pieces that were bought. Since each \n",
       "person bought a personal pan pizza cut into \u001b[1;36m4\u001b[0m pieces, we can calculate the total number of pieces by multiplying \u001b[1;36m4\u001b[0m \n",
       "by the number of people, which is \u001b[1;36m4\u001b[0m. This gives us a total of \u001b[1;36m16\u001b[0m pizza pieces.\n",
       "\n",
       "Next, we need to calculate how many pieces were eaten by each person. Bill and Dale each ate \u001b[1;36m50\u001b[0m% of their pizzas, \n",
       "which is equivalent to \u001b[1;36m2\u001b[0m pieces each \u001b[1m(\u001b[0m\u001b[1;36m50\u001b[0m% of \u001b[1;36m4\u001b[0m pieces is \u001b[1;36m2\u001b[0m pieces\u001b[1m)\u001b[0m. Ann and Cate each ate \u001b[1;36m75\u001b[0m% of their pizzas, \n",
       "which is equivalent to \u001b[1;36m3\u001b[0m pieces each \u001b[1m(\u001b[0m\u001b[1;36m75\u001b[0m% of \u001b[1;36m4\u001b[0m pieces is \u001b[1;36m3\u001b[0m pieces\u001b[1m)\u001b[0m.\n",
       "\n",
       "To find the total number of pieces eaten, we can add up the pieces eaten by each person: \u001b[1;36m2\u001b[0m + \u001b[1;36m2\u001b[0m + \u001b[1;36m3\u001b[0m + \u001b[1;36m3\u001b[0m = \u001b[1;36m10\u001b[0m pieces.\n",
       "\n",
       "Finally, to find the number of pieces left uneaten, we can subtract the total number of pieces eaten from the total\n",
       "number of pieces bought: \u001b[1;36m16\u001b[0m - \u001b[1;36m10\u001b[0m = \u001b[1;36m6\u001b[0m pieces.\n",
       "\n",
       "Therefore, there are \u001b[1;36m6\u001b[0m pizza pieces left uneaten.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m1\u001b[0m\n",
       "\n",
       "Q: John plays paintball \u001b[1;36m3\u001b[0m times a month.  Each time he plays he buys \u001b[1;36m3\u001b[0m boxes of paintballs.  They cost $\u001b[1;36m25\u001b[0m per box.\n",
       "How much does he spend a month on paintballs?\n",
       "\n",
       "A: \n",
       "To determine how much John spends on paintballs in a month, we need to multiply the number of times he plays by the\n",
       "number of boxes he buys each time, and then multiply that by the cost per box.\n",
       "\n",
       "Step \u001b[1;36m1\u001b[0m: Determine the number of boxes John buys in a month.\n",
       "Since John plays paintball \u001b[1;36m3\u001b[0m times a month and buys \u001b[1;36m3\u001b[0m boxes each time, we can multiply \u001b[1;36m3\u001b[0m by \u001b[1;36m3\u001b[0m to get the total \n",
       "number of boxes he buys in a month: \u001b[1;36m3\u001b[0m x \u001b[1;36m3\u001b[0m = \u001b[1;36m9\u001b[0m boxes.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the cost of \u001b[1;36m9\u001b[0m boxes of paintballs.\n",
       "Each box costs $\u001b[1;36m25\u001b[0m, so we can multiply \u001b[1;36m9\u001b[0m by $\u001b[1;36m25\u001b[0m to get the total cost of \u001b[1;36m9\u001b[0m boxes: \u001b[1;36m9\u001b[0m x $\u001b[1;36m25\u001b[0m = $\u001b[1;36m225\u001b[0m.\n",
       "\n",
       "Therefore, John spends $\u001b[1;36m225\u001b[0m a month on paintballs.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m2\u001b[0m\n",
       "\n",
       "Q: On Monday Elisa paints \u001b[1;36m30\u001b[0m square feet of her house's walls. On Tuesday she paints twice that amount. On \n",
       "Wednesday she finishes up by painting half as many square feet as she painted on Monday. How many square feet total\n",
       "does Elisa paint in her house?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to use the operations of addition, multiplication, and division.\n",
       "\n",
       "Step \u001b[1;36m1\u001b[0m: Analyze the problem\n",
       "We are given that Elisa paints \u001b[1;36m30\u001b[0m square feet on Monday, twice that amount on Tuesday, and half of Monday's amount \n",
       "on Wednesday. We need to find the total amount of square feet she paints in her house.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Calculate the amount painted on Tuesday\n",
       "Since Elisa paints twice the amount on Tuesday as she did on Monday, we can calculate this by multiplying \u001b[1;36m30\u001b[0m by \u001b[1;36m2\u001b[0m.\n",
       "\u001b[1;36m30\u001b[0m x \u001b[1;36m2\u001b[0m = \u001b[1;36m60\u001b[0m square feet\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Calculate the amount painted on Wednesday\n",
       "On Wednesday, Elisa paints half of what she painted on Monday. We can calculate this by dividing \u001b[1;36m30\u001b[0m by \u001b[1;36m2\u001b[0m.\n",
       "\u001b[1;36m30\u001b[0m ÷ \u001b[1;36m2\u001b[0m = \u001b[1;36m15\u001b[0m square feet\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Calculate the total amount painted\n",
       "To find the total amount of square feet painted, we need to add the amounts from each day.\n",
       "\u001b[1;36m30\u001b[0m + \u001b[1;36m60\u001b[0m + \u001b[1;36m15\u001b[0m = \u001b[1;36m105\u001b[0m square feet\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Final answer\n",
       "Elisa painted a total of \u001b[1;36m105\u001b[0m square feet in her house.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m3\u001b[0m\n",
       "\n",
       "Q: In \u001b[1;36m7\u001b[0m years, Kaylee will be \u001b[1;36m3\u001b[0m times as old as Matt is now. If Matt is currently \u001b[1;36m5\u001b[0m years old, how old is Kaylee \n",
       "now?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to use the concept of ratios and proportions. We know that in \u001b[1;36m7\u001b[0m years, Kaylee will \n",
       "be \u001b[1;36m3\u001b[0m times as old as Matt is now. This means that the ratio of Kaylee's age to Matt's age in \u001b[1;36m7\u001b[0m years will be \u001b[1;92m3:1\u001b[0m. \n",
       "\n",
       "Let's represent Kaylee's current age as x. This means that in \u001b[1;36m7\u001b[0m years, her age will be x+\u001b[1;36m7\u001b[0m. Similarly, Matt's \n",
       "current age is \u001b[1;36m5\u001b[0m, so in \u001b[1;36m7\u001b[0m years, his age will be \u001b[1;36m5\u001b[0m+\u001b[1;36m7\u001b[0m=\u001b[1;36m12\u001b[0m. \n",
       "\n",
       "Now, we can set up a proportion to solve for x:\n",
       "\u001b[1m(\u001b[0mx+\u001b[1;36m7\u001b[0m\u001b[1m)\u001b[0m\u001b[35m/\u001b[0m\u001b[95m12\u001b[0m = \u001b[1;36m3\u001b[0m/\u001b[1;36m1\u001b[0m\n",
       "\n",
       "To solve for x, we can cross-multiply:\n",
       "\u001b[1;35m1\u001b[0m\u001b[1m(\u001b[0mx+\u001b[1;36m7\u001b[0m\u001b[1m)\u001b[0m = \u001b[1;35m3\u001b[0m\u001b[1m(\u001b[0m\u001b[1;36m12\u001b[0m\u001b[1m)\u001b[0m\n",
       "x+\u001b[1;36m7\u001b[0m = \u001b[1;36m36\u001b[0m\n",
       "x = \u001b[1;36m36\u001b[0m-\u001b[1;36m7\u001b[0m\n",
       "x = \u001b[1;36m29\u001b[0m\n",
       "\n",
       "Therefore, Kaylee's current age is \u001b[1;36m29\u001b[0m years old.\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"In \u001b[1;36m7\u001b[0m years, Kaylee will be \u001b[1;36m5\u001b[0m * \u001b[1;36m3\u001b[0m = \u001b[1m<\u001b[0m\u001b[39m<\u001b[0m\u001b[1;36m5\u001b[0m\u001b[39m*\u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m15\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m15\u001b[0m\u001b[39m years old\u001b[0m\n",
       "\u001b[39mLet x be the age Kaylee is now.\u001b[0m\n",
       "\u001b[39mAfter \u001b[0m\u001b[1;36m7\u001b[0m\u001b[39m years, Kaylle will be \u001b[0m\u001b[1;36m15\u001b[0m\u001b[39m years old, so x + \u001b[0m\u001b[1;36m7\u001b[0m\u001b[39m = \u001b[0m\u001b[1;36m15\u001b[0m\n",
       "\u001b[39mx = \u001b[0m\u001b[1;36m15\u001b[0m\u001b[39m - \u001b[0m\u001b[1;36m7\u001b[0m\n",
       "\u001b[39mx = <<\u001b[0m\u001b[1;36m8\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m8\u001b[0m\u001b[39m>\u001b[0m\u001b[1m>\u001b[0m\u001b[1;36m8\u001b[0m years old\n",
       "#### \u001b[1;36m8\u001b[0m\"\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m4\u001b[0m\n",
       "\n",
       "Q: Toby is filling his swimming pool for the summer. The pool normally takes \u001b[1;36m50\u001b[0m hours to fill. He knows his hose \n",
       "runs at \u001b[1;36m100\u001b[0m gallons per hour. Water costs \u001b[1;36m1\u001b[0m cent for \u001b[1;36m10\u001b[0m gallons. How many dollars does it cost to fill the pool?\n",
       "\n",
       "A: \n",
       "To determine the cost of filling Toby's swimming pool, we need to calculate the total number of gallons of water \n",
       "needed and then convert it to dollars.\n",
       "\n",
       "Step \u001b[1;36m1\u001b[0m: Calculate the total number of gallons needed to fill the pool.\n",
       "Since Toby's hose runs at \u001b[1;36m100\u001b[0m gallons per hour and the pool takes \u001b[1;36m50\u001b[0m hours to fill, we can multiply \u001b[1;36m100\u001b[0m by \u001b[1;36m50\u001b[0m to \n",
       "get the total number of gallons needed.\n",
       "\u001b[1;36m100\u001b[0m x \u001b[1;36m50\u001b[0m = \u001b[1;36m5000\u001b[0m gallons\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Convert gallons to dollars.\n",
       "We know that \u001b[1;36m1\u001b[0m cent is equivalent to \u001b[1;36m10\u001b[0m gallons of water. Therefore, we can divide the total number of gallons by \n",
       "\u001b[1;36m10\u001b[0m to get the cost in cents.\n",
       "\u001b[1;36m5000\u001b[0m gallons \u001b[35m/\u001b[0m \u001b[1;36m10\u001b[0m = \u001b[1;36m500\u001b[0m cents\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Convert cents to dollars.\n",
       "To convert cents to dollars, we need to divide the number of cents by \u001b[1;36m100\u001b[0m.\n",
       "\u001b[1;36m500\u001b[0m cents \u001b[35m/\u001b[0m \u001b[1;36m100\u001b[0m = $\u001b[1;36m5\u001b[0m\n",
       "\n",
       "Therefore, it will cost Toby $\u001b[1;36m5\u001b[0m to fill his swimming pool for the summer.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "The analysis of the examples provided indicates that the instructions are largely effective, as evidenced by the \n",
       "several correct answers <span style=\"font-weight: bold\">(</span>Examples #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>, #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>, and #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"font-weight: bold\">)</span>. However, the prompt was not successful for Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>, where\n",
       "the model failed to solve the problem correctly, leading to an incorrect prediction.\n",
       "\n",
       "**Analysis of Incorrect Predictions:**\n",
       "\n",
       "In Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>, the model correctly identifies the relationships between ages and the passing of time but \n",
       "incorrectly formulates and resolves the equations. The model correctly establishes that Matt's age after <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years \n",
       "will be <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span>. However, it then mistakenly sets up a ratio that does not align with the condition <span style=\"color: #008000; text-decoration-color: #008000\">\"Kaylee will be 3 </span>\n",
       "<span style=\"color: #008000; text-decoration-color: #008000\">times as old as Matt is now\"</span>, meaning in <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> years, Kaylee should be <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> times Matt's current age, which is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>.\n",
       "\n",
       "The mistake occurs in setting up the proportion `<span style=\"font-weight: bold\">(</span>x+<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"font-weight: bold\">)</span><span style=\"color: #800080; text-decoration-color: #800080\">/</span><span style=\"color: #ff00ff; text-decoration-color: #ff00ff\">12</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>/<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>`, while the condition we need to use is actually `x\n",
       "+ <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> * <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>`. This indicates a misunderstanding of the relationship in time between Kaylee's future age and Matt's \n",
       "current age.\n",
       "\n",
       "**Suggested Changes to the Prompt:**\n",
       "\n",
       "To address the incorrect prediction and refine the model’s ability to solve complex problems involving future and \n",
       "present values, it may be beneficial to add specific instructions regarding the consideration of present and future\n",
       "values in age-related problems:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. When faced with problems involving ages at different points in time, clearly distinguish between current ages \n",
       "and ages at a specified time in the future. Establish any given relationships applying to the present or to the \n",
       "future before setting up equations.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. Ensure that any ratio or proportion setup directly reflects the conditions given in the problem statement. \n",
       "Double-check the logic of the proportion to prevent misinterpretation of temporal relationships between different \n",
       "subjects' ages.\n",
       "\n",
       "The new prompt might read as follows:\n",
       "\n",
       "\"For each arithmetic word problem provided, you are to:\n",
       "- Carefully read the problem and determine the mathematical operations needed for a solution, paying close \n",
       "attention to any temporal relationships or proportional conditions.\n",
       "- Execute the necessary calculations meticulously, ensuring that all arithmetic involving present and future \n",
       "comparisons, ratios, and proportions is correctly applied.\n",
       "- Verbally detail each step of your calculation process to clarify how you arrive at the final answer, especially \n",
       "in regard to the logic behind setting up equations and proportions.\n",
       "- Review your calculations for any possible errors before providing the final answer to ensure accuracy and \n",
       "consistency with the problem scenario.\"\n",
       "\n",
       "With these additional instructions, the model would be directed to handle problems involving age and time with \n",
       "explicit attention to whether the conditions apply to the present or the future, which should help avoid similar \n",
       "errors in the future.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "The analysis of the examples provided indicates that the instructions are largely effective, as evidenced by the \n",
       "several correct answers \u001b[1m(\u001b[0mExamples #\u001b[1;36m0\u001b[0m, #\u001b[1;36m1\u001b[0m, #\u001b[1;36m2\u001b[0m, and #\u001b[1;36m4\u001b[0m\u001b[1m)\u001b[0m. However, the prompt was not successful for Example #\u001b[1;36m3\u001b[0m, where\n",
       "the model failed to solve the problem correctly, leading to an incorrect prediction.\n",
       "\n",
       "**Analysis of Incorrect Predictions:**\n",
       "\n",
       "In Example #\u001b[1;36m3\u001b[0m, the model correctly identifies the relationships between ages and the passing of time but \n",
       "incorrectly formulates and resolves the equations. The model correctly establishes that Matt's age after \u001b[1;36m7\u001b[0m years \n",
       "will be \u001b[1;36m12\u001b[0m. However, it then mistakenly sets up a ratio that does not align with the condition \u001b[32m\"Kaylee will be 3 \u001b[0m\n",
       "\u001b[32mtimes as old as Matt is now\"\u001b[0m, meaning in \u001b[1;36m7\u001b[0m years, Kaylee should be \u001b[1;36m3\u001b[0m times Matt's current age, which is \u001b[1;36m5\u001b[0m.\n",
       "\n",
       "The mistake occurs in setting up the proportion `\u001b[1m(\u001b[0mx+\u001b[1;36m7\u001b[0m\u001b[1m)\u001b[0m\u001b[35m/\u001b[0m\u001b[95m12\u001b[0m = \u001b[1;36m3\u001b[0m/\u001b[1;36m1\u001b[0m`, while the condition we need to use is actually `x\n",
       "+ \u001b[1;36m7\u001b[0m = \u001b[1;36m3\u001b[0m * \u001b[1;36m5\u001b[0m`. This indicates a misunderstanding of the relationship in time between Kaylee's future age and Matt's \n",
       "current age.\n",
       "\n",
       "**Suggested Changes to the Prompt:**\n",
       "\n",
       "To address the incorrect prediction and refine the model’s ability to solve complex problems involving future and \n",
       "present values, it may be beneficial to add specific instructions regarding the consideration of present and future\n",
       "values in age-related problems:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. When faced with problems involving ages at different points in time, clearly distinguish between current ages \n",
       "and ages at a specified time in the future. Establish any given relationships applying to the present or to the \n",
       "future before setting up equations.\n",
       "\n",
       "\u001b[1;36m2\u001b[0m. Ensure that any ratio or proportion setup directly reflects the conditions given in the problem statement. \n",
       "Double-check the logic of the proportion to prevent misinterpretation of temporal relationships between different \n",
       "subjects' ages.\n",
       "\n",
       "The new prompt might read as follows:\n",
       "\n",
       "\"For each arithmetic word problem provided, you are to:\n",
       "- Carefully read the problem and determine the mathematical operations needed for a solution, paying close \n",
       "attention to any temporal relationships or proportional conditions.\n",
       "- Execute the necessary calculations meticulously, ensuring that all arithmetic involving present and future \n",
       "comparisons, ratios, and proportions is correctly applied.\n",
       "- Verbally detail each step of your calculation process to clarify how you arrive at the final answer, especially \n",
       "in regard to the logic behind setting up equations and proportions.\n",
       "- Review your calculations for any possible errors before providing the final answer to ensure accuracy and \n",
       "consistency with the problem scenario.\"\n",
       "\n",
       "With these additional instructions, the model would be directed to handle problems involving age and time with \n",
       "explicit attention to whether the conditions apply to the present or the future, which should help avoid similar \n",
       "errors in the future.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "Now please carefully review your reasoning in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and help with Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Analyze the problem to determine the mathematical operations needed for a solution.\n",
       "- Execute the necessary calculations meticulously, ensuring all arithmetic is correct.\n",
       "- Verbally detail each step of your calculation process to clarify how you arrive at the final answer.\n",
       "- Review your calculations for any possible errors before providing the final answer to ensure accuracy.\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>.\n",
       "    Example:\n",
       "    - Current prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text.\"</span>\n",
       "    - New prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text. Pay attention to the original style.\"</span>\n",
       "        \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. Reply only with the new prompt. Do not include input and output templates in the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "Now please carefully review your reasoning in Step \u001b[1;36m1\u001b[0m and help with Step \u001b[1;36m2\u001b[0m: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Analyze the problem to determine the mathematical operations needed for a solution.\n",
       "- Execute the necessary calculations meticulously, ensuring all arithmetic is correct.\n",
       "- Verbally detail each step of your calculation process to clarify how you arrive at the final answer.\n",
       "- Review your calculations for any possible errors before providing the final answer to ensure accuracy.\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "\u001b[1;36m2\u001b[0m. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step \u001b[1;36m1\u001b[0m.\n",
       "    Example:\n",
       "    - Current prompt: \u001b[32m\"The model should generate a summary of the input text.\"\u001b[0m\n",
       "    - New prompt: \u001b[32m\"The model should generate a summary of the input text. Pay attention to the original style.\"\u001b[0m\n",
       "        \n",
       "\u001b[1;36m3\u001b[0m. Reply only with the new prompt. Do not include input and output templates in the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "For each arithmetic word problem provided, you are to:\n",
       "- <span style=\"background-color: lightgreen;\">C</span>le<span style=\"background-color: lightgreen;\">a</span>r<span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span>o<span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span>bed <span style=\"background-color: lightgreen;\">w</span>it<span style=\"background-color: lightgreen;\">h</span>in t<span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span>o<span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span>n<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">j</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span>.\n",
       "- <span style=\"background-color: lightgreen;\">D</span>etermine t<span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span>.\n",
       "- <span style=\"background-color: lightgreen;\">E</span><span style=\"background-color: lightgreen;\">x</span>e<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">a</span>r<span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span>ble<span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">'</span>s con<span style=\"background-color: lightgreen;\">d</span>i<span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span> <span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span>h<span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">r</span>owth<span style=\"background-color: lightgreen;\">,</span> a<span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span> a<span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span>s<span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span>w<span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span>r<span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span>.\n",
       "- <span style=\"background-color: lightgreen;\">V</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">q</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">k</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">\n",
       "</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\"> </span>Review your calculations <span style=\"background-color: lightgreen;\">t</span>o <span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span>i<span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span>before providing the final so<span style=\"background-color: lightgreen;\">l</span>u<span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span>."
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "\n",
       "=&gt; Iteration #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Getting feedback, analyzing and improving <span style=\"color: #808000; text-decoration-color: #808000\">...</span>\n",
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       "\n",
       "\n",
       "=> Iteration #\u001b[1;36m3\u001b[0m: Getting feedback, analyzing and improving \u001b[33m...\u001b[0m\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
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       "Applying skill: math_solver\n"
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      "100%|█| 5/5 [00:21<00:00, \n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Predictions and feedback:\n",
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       "Predictions and feedback:\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">                                                                                                                   \n",
       " <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer__fb                          </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> question                            </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer                              </span> \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is incorrect. Correct      Tom decides to renovate a house.                                           \n",
       "  answer: \"The kitchen took 4 * .5 =    There are 3 bedrooms and each         Step 1: Identify the relationships   \n",
       "  &lt;&lt;4*.5=2&gt;&gt;2 hours longer than the     bedroom takes 4 hours to renovate.    and conditions described in the      \n",
       "  bedrooms                              The kitchen takes 50% longer than     problem.                             \n",
       "  So the kitchen took 4 + 2 =           each bedroom.  The living room took   - There are 3 bedrooms that each     \n",
       "  &lt;&lt;4+2=6&gt;&gt;6 hours                      twice as much time as everything      take 4 hours to renovate.            \n",
       "  The bedrooms took 3 * 4 =             else combined.  How long did          - The kitchen takes 50% longer than  \n",
       "  &lt;&lt;3*4=12&gt;&gt;12 hours                    everything take?                      each bedroom, meaning it takes 6     \n",
       "  So the kitchen and bedrooms                                                 hours to renovate.                   \n",
       "  combined took 12 + 6 =                                                      - The living room took twice as      \n",
       "  &lt;&lt;12+6=18&gt;&gt;18 hours                                                         much time as everything else         \n",
       "  The living room took 18 * 2 =                                               combined, meaning it took 24 hours   \n",
       "  &lt;&lt;18*2=36&gt;&gt;36 hours                                                         to renovate.                         \n",
       "  So everything took a total of 18 +                                                                               \n",
       "  36 = &lt;&lt;18+36=54&gt;&gt;54 hours                                                   Step 2: Determine the appropriate    \n",
       "  #### 54\"                                                                    mathematical operations needed for   \n",
       "                                                                              a solution.                          \n",
       "                                                                              - To find the total time for         \n",
       "                                                                              everything, we will need to add the  \n",
       "                                                                              time for each room together.         \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Execute the necessary        \n",
       "                                                                              calculations.                        \n",
       "                                                                              - Total time for bedrooms: 3         \n",
       "                                                                              bedrooms x 4 hours per bedroom = 12  \n",
       "                                                                              hours                                \n",
       "                                                                              - Time for kitchen: 6 hours          \n",
       "                                                                              - Time for living room: 24 hours     \n",
       "                                                                              - Total time for everything: 12      \n",
       "                                                                              hours + 6 hours + 24 hours = 42      \n",
       "                                                                              hours                                \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Verbally detail each step    \n",
       "                                                                              of your calculation process.         \n",
       "                                                                              - To find the total time for         \n",
       "                                                                              everything, we first need to find    \n",
       "                                                                              the time for each room.              \n",
       "                                                                              - We know that there are 3 bedrooms  \n",
       "                                                                              and each takes 4 hours, so we        \n",
       "                                                                              multiply 3 by 4 to get 12 hours.     \n",
       "                                                                              - The kitchen takes 50% longer than  \n",
       "                                                                              each bedroom, so we add 50% of 4     \n",
       "                                                                              hours (2 hours) to the 4 hours for   \n",
       "                                                                              each bedroom, giving us 6 hours for  \n",
       "                                                                              the kitchen.                         \n",
       "                                                                              - The living room took twice as      \n",
       "                                                                              much time as everything else         \n",
       "                                                                              combined, so we add the time for     \n",
       "                                                                              the bedrooms (12 hours) and the      \n",
       "                                                                              kitchen (6 hours) together to get    \n",
       "                                                                              18 hours. Then we double that to     \n",
       "                                                                              get 24 hours for the living room.    \n",
       "                                                                              - Finally, we add the time for each  \n",
       "                                                                              room together to get the total time  \n",
       "                                                                              for everything: 12 hours + 6 hours   \n",
       "                                                                              + 24 hours = 42 hours.               \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Review your calculations.    \n",
       "                                                                              - The final answer of 42 hours is    \n",
       "                                                                              consistent with the scenario         \n",
       "                                                                              presented, as each room's time and   \n",
       "                                                                              the living room's time are all       \n",
       "                                                                              accounted for and added together.    \n",
       "                                                                              - The calculations also comply with  \n",
       "                                                                              the problem's conditions, as the     \n",
       "                                                                              time for each room is accurately     \n",
       "                                                                              determined based on the given        \n",
       "                                                                              information.                         \n",
       "                                                                              - Therefore, the final solution is   \n",
       "                                                                              42 hours for everything to be        \n",
       "                                                                              renovated.                           \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Mike has to get an x-ray and an     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> MRI.  The x-ray is $250 and the MRI </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 1: Identify the relationships  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> is triple that cost.  Insurance     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> and conditions described in the     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> covers 80%.  How much did he pay?   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> problem.                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Mike needs to get an x-ray and an </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> MRI.                                </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The cost of the x-ray is $250.    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The cost of the MRI is triple the </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cost of the x-ray.                  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Insurance covers 80% of the cost. </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We need to find out how much Mike </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> paid.                               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 2: Determine the appropriate   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> mathematical operations needed for  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> a solution.                         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We need to find the total cost of </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the x-ray and MRI.                  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We need to calculate 80% of the   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total cost.                         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We need to subtract the insurance </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> coverage from the total cost to     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> find out how much Mike paid.        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 3: Execute the necessary       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> calculations meticulously.          </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The cost of the MRI is triple the </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cost of the x-ray, so it is 3 times </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $250 = $750.                        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The total cost is $250 + $750 =   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $1000.                              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - 80% of $1000 is (80/100) x $1000  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> = $800.                             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Mike paid $1000 - $800 = $200.    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 4: Verbally detail each step   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of your calculation process.        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We first calculated the cost of   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the MRI by multiplying the cost of  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the x-ray by 3.                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Then, we added the cost of the    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> x-ray and MRI to find the total     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cost.                               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Next, we calculated 80% of the    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total cost by multiplying it by     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 80/100.                             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Finally, we subtracted the        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> insurance coverage from the total   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cost to find out how much Mike      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> paid.                               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 5: Review your calculations to </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> verify the final answer.            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The final answer of $200 is       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> consistent with the scenario        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> presented.                          </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Mike paid $200 for the x-ray and  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> MRI after insurance coverage, which </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> is 20% of the total cost.           </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - This means that the insurance     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> covered 80% of the total cost, as   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> stated in the problem.              </span> \n",
       "  Prediction is correct.                Amanda and her family are going to                                         \n",
       "                                        re-paint all the walls inside their   Step 1: Identify and understand the  \n",
       "                                        house. Before they get started they   relationships and conditions         \n",
       "                                        want to divide up the work. Since     described in the problem.            \n",
       "                                        all the rooms in the house have       - There are 5 people in Amanda's     \n",
       "                                        different numbers and sizes of        family, including herself.           \n",
       "                                        walls in them, they figure the        - There are 9 rooms in the house.    \n",
       "                                        fairest way to divide up the work     - 5 of the rooms have 4 walls each.  \n",
       "                                        is to count all the walls in the      - The other 4 rooms each have 5      \n",
       "                                        house and assign an equal number to   walls each.                          \n",
       "                                        each person. There are 5 people in    - The family wants to divide up the  \n",
       "                                        Amanda's family, including herself.   work of painting all the walls in    \n",
       "                                        There are 9 rooms in the house. 5     the house equally.                   \n",
       "                                        of the rooms have 4 walls each. The                                        \n",
       "                                        other 4 rooms each have 5 walls       Step 2: Determine the appropriate    \n",
       "                                        each. To be fair, how many walls      mathematical operations needed for   \n",
       "                                        should each person in Amanda's        a solution.                          \n",
       "                                        family paint?                         - To divide the work equally, we     \n",
       "                                                                              need to find the total number of     \n",
       "                                                                              walls in the house and divide it by  \n",
       "                                                                              the number of people in the family.  \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Execute the necessary        \n",
       "                                                                              calculations meticulously.           \n",
       "                                                                              - Total number of walls in the       \n",
       "                                                                              house = (5 rooms x 4 walls per       \n",
       "                                                                              room) + (4 rooms x 5 walls per       \n",
       "                                                                              room) = 20 + 20 = 40 walls           \n",
       "                                                                              - Number of walls each person        \n",
       "                                                                              should paint = 40 walls / 5 people   \n",
       "                                                                              = 8 walls per person                 \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Verbally detail each step    \n",
       "                                                                              of your calculation process.         \n",
       "                                                                              - To find the total number of walls  \n",
       "                                                                              in the house, we add the number of   \n",
       "                                                                              walls in each room. There are 5      \n",
       "                                                                              rooms with 4 walls each, so we       \n",
       "                                                                              multiply 5 by 4 to get 20 walls.     \n",
       "                                                                              There are 4 rooms with 5 walls       \n",
       "                                                                              each, so we multiply 4 by 5 to get   \n",
       "                                                                              another 20 walls. Adding these two   \n",
       "                                                                              numbers together, we get a total of  \n",
       "                                                                              40 walls in the house.               \n",
       "                                                                              - To divide the work equally, we     \n",
       "                                                                              divide the total number of walls by  \n",
       "                                                                              the number of people in the family.  \n",
       "                                                                              In this case, there are 5 people in  \n",
       "                                                                              the family, so we divide 40 walls    \n",
       "                                                                              by 5 to get 8 walls per person.      \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Review your calculations to  \n",
       "                                                                              verify the final answer.             \n",
       "                                                                              - The final answer of 8 walls per    \n",
       "                                                                              person is consistent with the        \n",
       "                                                                              scenario presented. Each person in   \n",
       "                                                                              the family will have an equal        \n",
       "                                                                              amount of work to do, with each      \n",
       "                                                                              person painting 8 walls.             \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Sean designs and sells patches.  He </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> orders his patches in a unit of 100 </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 1: Identify the relationships  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> and is charged $1.25 per patch.  If </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> and conditions described in the     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> he turns around and sells all 100   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> problem.                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> patches for $12.00 each, what is    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Sean designs and sells patches.   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> his net profit?                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - He orders patches in a unit of    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> 100.                                </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - He is charged $1.25 per patch.    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - He sells all 100 patches for      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $12.00 each.                        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 2: Determine the appropriate   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> mathematical operations needed for  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> a solution.                         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To find the net profit, we need to  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> subtract the cost of the patches    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> from the total revenue earned from  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> selling them.                       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 3: Execute the necessary       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> calculations.                       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Cost of 100 patches = 100 x $1.25 </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> = $125                              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Revenue from selling 100 patches  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> = 100 x $12.00 = $1200              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Net profit = $1200 - $125 = $1075 </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 4: Verbally detail each step   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of your calculation process.        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To find the net profit, we first    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> need to calculate the cost of the   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> patches by multiplying the number   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of patches (100) by the cost per    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> patch ($1.25). This gives us a      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total cost of $125. Next, we need   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> to calculate the revenue earned     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> from selling the patches by         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> multiplying the number of patches   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> (100) by the selling price per      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> patch ($12.00). This gives us a     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total revenue of $1200. Finally, we </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> can find the net profit by          </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> subtracting the cost of the patches </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> from the total revenue earned,      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> which gives us a net profit of      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $1075.                              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 5: Review your calculations.   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> The final answer of $1075 is        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> consistent with the scenario        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> presented, as it represents the     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> profit earned from selling 100      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> patches at a price of $12.00 each   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> after deducting the cost of $125    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> for purchasing the patches.         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, Sean's net profit is     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $1075.                              </span> \n",
       "  Prediction is correct.                Autumn was constantly misplacing                                           \n",
       "                                        her pencils.  At the start of the     Step 1: Identify the relationships   \n",
       "                                        school year, she purchased a pack     and conditions described in the      \n",
       "                                        of 20 pencils.  In the first month    problem.                             \n",
       "                                        of school, she misplaced 7 pencils,   - Autumn purchased a pack of 20      \n",
       "                                        broke 3 pencils and had to throw      pencils at the start of the school   \n",
       "                                        them away, she found 4, and bought    year.                                \n",
       "                                        2.  How many pencils did Autumn       - In the first month of school, she  \n",
       "                                        have left?                            misplaced 7 pencils, broke 3         \n",
       "                                                                              pencils, found 4 pencils, and        \n",
       "                                                                              bought 2 pencils.                    \n",
       "                                                                              - The problem is asking for the      \n",
       "                                                                              number of pencils Autumn has left    \n",
       "                                                                              after the first month of school.     \n",
       "                                                                                                                   \n",
       "                                                                              Step 2: Determine the appropriate    \n",
       "                                                                              mathematical operations needed for   \n",
       "                                                                              a solution.                          \n",
       "                                                                              - We will need to use subtraction    \n",
       "                                                                              to find the number of pencils        \n",
       "                                                                              Autumn has left.                     \n",
       "                                                                              - We will also need to use addition  \n",
       "                                                                              to account for the pencils she       \n",
       "                                                                              found and bought.                    \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Execute the necessary        \n",
       "                                                                              calculations.                        \n",
       "                                                                              - First, we will subtract the        \n",
       "                                                                              number of pencils she misplaced and  \n",
       "                                                                              broke from the total number of       \n",
       "                                                                              pencils she started with: 20 - 7 -   \n",
       "                                                                              3 = 10.                              \n",
       "                                                                              - Next, we will add the number of    \n",
       "                                                                              pencils she found and bought: 10 +   \n",
       "                                                                              4 + 2 = 16.                          \n",
       "                                                                              - Therefore, Autumn has 16 pencils   \n",
       "                                                                              left after the first month of        \n",
       "                                                                              school.                              \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Review the calculations.     \n",
       "                                                                              - The final answer of 16 pencils is  \n",
       "                                                                              consistent with the scenario         \n",
       "                                                                              presented.                           \n",
       "                                                                              - We have accounted for all the      \n",
       "                                                                              pencils that were misplaced,         \n",
       "                                                                              broken, found, and bought.           \n",
       "                                                                              - Therefore, our solution is         \n",
       "                                                                              accurate.                            \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Final answer.                \n",
       "                                                                              - After the first month of school,   \n",
       "                                                                              Autumn has 16 pencils left.          \n",
       "                                                                                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "                                                                                                                   \n",
       " \u001b[1;35m \u001b[0m\u001b[1;35manswer__fb                         \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35mquestion                           \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35manswer                             \u001b[0m\u001b[1;35m \u001b[0m \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is incorrect. Correct      Tom decides to renovate a house.                                           \n",
       "  answer: \"The kitchen took 4 * .5 =    There are 3 bedrooms and each         Step 1: Identify the relationships   \n",
       "  <<4*.5=2>>2 hours longer than the     bedroom takes 4 hours to renovate.    and conditions described in the      \n",
       "  bedrooms                              The kitchen takes 50% longer than     problem.                             \n",
       "  So the kitchen took 4 + 2 =           each bedroom.  The living room took   - There are 3 bedrooms that each     \n",
       "  <<4+2=6>>6 hours                      twice as much time as everything      take 4 hours to renovate.            \n",
       "  The bedrooms took 3 * 4 =             else combined.  How long did          - The kitchen takes 50% longer than  \n",
       "  <<3*4=12>>12 hours                    everything take?                      each bedroom, meaning it takes 6     \n",
       "  So the kitchen and bedrooms                                                 hours to renovate.                   \n",
       "  combined took 12 + 6 =                                                      - The living room took twice as      \n",
       "  <<12+6=18>>18 hours                                                         much time as everything else         \n",
       "  The living room took 18 * 2 =                                               combined, meaning it took 24 hours   \n",
       "  <<18*2=36>>36 hours                                                         to renovate.                         \n",
       "  So everything took a total of 18 +                                                                               \n",
       "  36 = <<18+36=54>>54 hours                                                   Step 2: Determine the appropriate    \n",
       "  #### 54\"                                                                    mathematical operations needed for   \n",
       "                                                                              a solution.                          \n",
       "                                                                              - To find the total time for         \n",
       "                                                                              everything, we will need to add the  \n",
       "                                                                              time for each room together.         \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Execute the necessary        \n",
       "                                                                              calculations.                        \n",
       "                                                                              - Total time for bedrooms: 3         \n",
       "                                                                              bedrooms x 4 hours per bedroom = 12  \n",
       "                                                                              hours                                \n",
       "                                                                              - Time for kitchen: 6 hours          \n",
       "                                                                              - Time for living room: 24 hours     \n",
       "                                                                              - Total time for everything: 12      \n",
       "                                                                              hours + 6 hours + 24 hours = 42      \n",
       "                                                                              hours                                \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Verbally detail each step    \n",
       "                                                                              of your calculation process.         \n",
       "                                                                              - To find the total time for         \n",
       "                                                                              everything, we first need to find    \n",
       "                                                                              the time for each room.              \n",
       "                                                                              - We know that there are 3 bedrooms  \n",
       "                                                                              and each takes 4 hours, so we        \n",
       "                                                                              multiply 3 by 4 to get 12 hours.     \n",
       "                                                                              - The kitchen takes 50% longer than  \n",
       "                                                                              each bedroom, so we add 50% of 4     \n",
       "                                                                              hours (2 hours) to the 4 hours for   \n",
       "                                                                              each bedroom, giving us 6 hours for  \n",
       "                                                                              the kitchen.                         \n",
       "                                                                              - The living room took twice as      \n",
       "                                                                              much time as everything else         \n",
       "                                                                              combined, so we add the time for     \n",
       "                                                                              the bedrooms (12 hours) and the      \n",
       "                                                                              kitchen (6 hours) together to get    \n",
       "                                                                              18 hours. Then we double that to     \n",
       "                                                                              get 24 hours for the living room.    \n",
       "                                                                              - Finally, we add the time for each  \n",
       "                                                                              room together to get the total time  \n",
       "                                                                              for everything: 12 hours + 6 hours   \n",
       "                                                                              + 24 hours = 42 hours.               \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Review your calculations.    \n",
       "                                                                              - The final answer of 42 hours is    \n",
       "                                                                              consistent with the scenario         \n",
       "                                                                              presented, as each room's time and   \n",
       "                                                                              the living room's time are all       \n",
       "                                                                              accounted for and added together.    \n",
       "                                                                              - The calculations also comply with  \n",
       "                                                                              the problem's conditions, as the     \n",
       "                                                                              time for each room is accurately     \n",
       "                                                                              determined based on the given        \n",
       "                                                                              information.                         \n",
       "                                                                              - Therefore, the final solution is   \n",
       "                                                                              42 hours for everything to be        \n",
       "                                                                              renovated.                           \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mMike has to get an x-ray and an    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mMRI.  The x-ray is $250 and the MRI\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 1: Identify the relationships \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mis triple that cost.  Insurance    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mand conditions described in the    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcovers 80%.  How much did he pay?  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mproblem.                           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Mike needs to get an x-ray and an\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mMRI.                               \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The cost of the x-ray is $250.   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The cost of the MRI is triple the\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcost of the x-ray.                 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Insurance covers 80% of the cost.\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We need to find out how much Mike\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpaid.                              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 2: Determine the appropriate  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmathematical operations needed for \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2ma solution.                        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We need to find the total cost of\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe x-ray and MRI.                 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We need to calculate 80% of the  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal cost.                        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We need to subtract the insurance\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcoverage from the total cost to    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfind out how much Mike paid.       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 3: Execute the necessary      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcalculations meticulously.         \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The cost of the MRI is triple the\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcost of the x-ray, so it is 3 times\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$250 = $750.                       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The total cost is $250 + $750 =  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$1000.                             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- 80% of $1000 is (80/100) x $1000 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m= $800.                            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Mike paid $1000 - $800 = $200.   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 4: Verbally detail each step  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof your calculation process.       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We first calculated the cost of  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe MRI by multiplying the cost of \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe x-ray by 3.                    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Then, we added the cost of the   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mx-ray and MRI to find the total    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcost.                              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Next, we calculated 80% of the   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal cost by multiplying it by    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m80/100.                            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Finally, we subtracted the       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2minsurance coverage from the total  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcost to find out how much Mike     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpaid.                              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 5: Review your calculations to\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mverify the final answer.           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The final answer of $200 is      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mconsistent with the scenario       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpresented.                         \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Mike paid $200 for the x-ray and \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mMRI after insurance coverage, which\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mis 20% of the total cost.          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- This means that the insurance    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcovered 80% of the total cost, as  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mstated in the problem.             \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.                Amanda and her family are going to                                         \n",
       "                                        re-paint all the walls inside their   Step 1: Identify and understand the  \n",
       "                                        house. Before they get started they   relationships and conditions         \n",
       "                                        want to divide up the work. Since     described in the problem.            \n",
       "                                        all the rooms in the house have       - There are 5 people in Amanda's     \n",
       "                                        different numbers and sizes of        family, including herself.           \n",
       "                                        walls in them, they figure the        - There are 9 rooms in the house.    \n",
       "                                        fairest way to divide up the work     - 5 of the rooms have 4 walls each.  \n",
       "                                        is to count all the walls in the      - The other 4 rooms each have 5      \n",
       "                                        house and assign an equal number to   walls each.                          \n",
       "                                        each person. There are 5 people in    - The family wants to divide up the  \n",
       "                                        Amanda's family, including herself.   work of painting all the walls in    \n",
       "                                        There are 9 rooms in the house. 5     the house equally.                   \n",
       "                                        of the rooms have 4 walls each. The                                        \n",
       "                                        other 4 rooms each have 5 walls       Step 2: Determine the appropriate    \n",
       "                                        each. To be fair, how many walls      mathematical operations needed for   \n",
       "                                        should each person in Amanda's        a solution.                          \n",
       "                                        family paint?                         - To divide the work equally, we     \n",
       "                                                                              need to find the total number of     \n",
       "                                                                              walls in the house and divide it by  \n",
       "                                                                              the number of people in the family.  \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Execute the necessary        \n",
       "                                                                              calculations meticulously.           \n",
       "                                                                              - Total number of walls in the       \n",
       "                                                                              house = (5 rooms x 4 walls per       \n",
       "                                                                              room) + (4 rooms x 5 walls per       \n",
       "                                                                              room) = 20 + 20 = 40 walls           \n",
       "                                                                              - Number of walls each person        \n",
       "                                                                              should paint = 40 walls / 5 people   \n",
       "                                                                              = 8 walls per person                 \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Verbally detail each step    \n",
       "                                                                              of your calculation process.         \n",
       "                                                                              - To find the total number of walls  \n",
       "                                                                              in the house, we add the number of   \n",
       "                                                                              walls in each room. There are 5      \n",
       "                                                                              rooms with 4 walls each, so we       \n",
       "                                                                              multiply 5 by 4 to get 20 walls.     \n",
       "                                                                              There are 4 rooms with 5 walls       \n",
       "                                                                              each, so we multiply 4 by 5 to get   \n",
       "                                                                              another 20 walls. Adding these two   \n",
       "                                                                              numbers together, we get a total of  \n",
       "                                                                              40 walls in the house.               \n",
       "                                                                              - To divide the work equally, we     \n",
       "                                                                              divide the total number of walls by  \n",
       "                                                                              the number of people in the family.  \n",
       "                                                                              In this case, there are 5 people in  \n",
       "                                                                              the family, so we divide 40 walls    \n",
       "                                                                              by 5 to get 8 walls per person.      \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Review your calculations to  \n",
       "                                                                              verify the final answer.             \n",
       "                                                                              - The final answer of 8 walls per    \n",
       "                                                                              person is consistent with the        \n",
       "                                                                              scenario presented. Each person in   \n",
       "                                                                              the family will have an equal        \n",
       "                                                                              amount of work to do, with each      \n",
       "                                                                              person painting 8 walls.             \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mSean designs and sells patches.  He\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2morders his patches in a unit of 100\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 1: Identify the relationships \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mand is charged $1.25 per patch.  If\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mand conditions described in the    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mhe turns around and sells all 100  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mproblem.                           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpatches for $12.00 each, what is   \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Sean designs and sells patches.  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mhis net profit?                    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m- He orders patches in a unit of   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m100.                               \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- He is charged $1.25 per patch.   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- He sells all 100 patches for     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$12.00 each.                       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 2: Determine the appropriate  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmathematical operations needed for \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2ma solution.                        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo find the net profit, we need to \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msubtract the cost of the patches   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfrom the total revenue earned from \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mselling them.                      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 3: Execute the necessary      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcalculations.                      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Cost of 100 patches = 100 x $1.25\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m= $125                             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Revenue from selling 100 patches \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m= 100 x $12.00 = $1200             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Net profit = $1200 - $125 = $1075\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 4: Verbally detail each step  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof your calculation process.       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo find the net profit, we first   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mneed to calculate the cost of the  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpatches by multiplying the number  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof patches (100) by the cost per   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpatch ($1.25). This gives us a     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal cost of $125. Next, we need  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mto calculate the revenue earned    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfrom selling the patches by        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmultiplying the number of patches  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m(100) by the selling price per     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpatch ($12.00). This gives us a    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal revenue of $1200. Finally, we\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcan find the net profit by         \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msubtracting the cost of the patches\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfrom the total revenue earned,     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mwhich gives us a net profit of     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$1075.                             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 5: Review your calculations.  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mThe final answer of $1075 is       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mconsistent with the scenario       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpresented, as it represents the    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mprofit earned from selling 100     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpatches at a price of $12.00 each  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mafter deducting the cost of $125   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfor purchasing the patches.        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, Sean's net profit is    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$1075.                             \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.                Autumn was constantly misplacing                                           \n",
       "                                        her pencils.  At the start of the     Step 1: Identify the relationships   \n",
       "                                        school year, she purchased a pack     and conditions described in the      \n",
       "                                        of 20 pencils.  In the first month    problem.                             \n",
       "                                        of school, she misplaced 7 pencils,   - Autumn purchased a pack of 20      \n",
       "                                        broke 3 pencils and had to throw      pencils at the start of the school   \n",
       "                                        them away, she found 4, and bought    year.                                \n",
       "                                        2.  How many pencils did Autumn       - In the first month of school, she  \n",
       "                                        have left?                            misplaced 7 pencils, broke 3         \n",
       "                                                                              pencils, found 4 pencils, and        \n",
       "                                                                              bought 2 pencils.                    \n",
       "                                                                              - The problem is asking for the      \n",
       "                                                                              number of pencils Autumn has left    \n",
       "                                                                              after the first month of school.     \n",
       "                                                                                                                   \n",
       "                                                                              Step 2: Determine the appropriate    \n",
       "                                                                              mathematical operations needed for   \n",
       "                                                                              a solution.                          \n",
       "                                                                              - We will need to use subtraction    \n",
       "                                                                              to find the number of pencils        \n",
       "                                                                              Autumn has left.                     \n",
       "                                                                              - We will also need to use addition  \n",
       "                                                                              to account for the pencils she       \n",
       "                                                                              found and bought.                    \n",
       "                                                                                                                   \n",
       "                                                                              Step 3: Execute the necessary        \n",
       "                                                                              calculations.                        \n",
       "                                                                              - First, we will subtract the        \n",
       "                                                                              number of pencils she misplaced and  \n",
       "                                                                              broke from the total number of       \n",
       "                                                                              pencils she started with: 20 - 7 -   \n",
       "                                                                              3 = 10.                              \n",
       "                                                                              - Next, we will add the number of    \n",
       "                                                                              pencils she found and bought: 10 +   \n",
       "                                                                              4 + 2 = 16.                          \n",
       "                                                                              - Therefore, Autumn has 16 pencils   \n",
       "                                                                              left after the first month of        \n",
       "                                                                              school.                              \n",
       "                                                                                                                   \n",
       "                                                                              Step 4: Review the calculations.     \n",
       "                                                                              - The final answer of 16 pencils is  \n",
       "                                                                              consistent with the scenario         \n",
       "                                                                              presented.                           \n",
       "                                                                              - We have accounted for all the      \n",
       "                                                                              pencils that were misplaced,         \n",
       "                                                                              broken, found, and bought.           \n",
       "                                                                              - Therefore, our solution is         \n",
       "                                                                              accurate.                            \n",
       "                                                                                                                   \n",
       "                                                                              Step 5: Final answer.                \n",
       "                                                                              - After the first month of school,   \n",
       "                                                                              Autumn has 16 pencils left.          \n",
       "                                                                                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Output to improve: </span><span style=\"color: #008000; text-decoration-color: #008000\">\"answer\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\"> (</span><span style=\"color: #808000; text-decoration-color: #808000; font-weight: bold\">Skill</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">=</span><span style=\"color: #008000; text-decoration-color: #008000\">\"math_solver\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span>\n",
       "<span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Accuracy = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80.00</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">%</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1;31mOutput to improve: \u001b[0m\u001b[32m\"answer\"\u001b[0m\u001b[1;31m \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;33mSkill\u001b[0m\u001b[1;31m=\u001b[0m\u001b[32m\"math_solver\"\u001b[0m\u001b[1;31m)\u001b[0m\n",
       "\u001b[1;31mAccuracy = \u001b[0m\u001b[1;36m80.00\u001b[0m\u001b[1;31m%\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{system}\"</span>:\n",
       "You are a helpful assistant.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32msystem\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "You are a helpful assistant.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model <span style=\"font-weight: bold\">(</span>LLM<span style=\"font-weight: bold\">)</span> to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: <span style=\"font-weight: bold\">{</span>question<span style=\"font-weight: bold\">}</span>\n",
       "<span style=\"font-weight: bold\">{</span>prompt<span style=\"font-weight: bold\">}</span>\n",
       "A: <span style=\"font-weight: bold\">{</span>answer<span style=\"font-weight: bold\">}</span>\n",
       "```\n",
       "\n",
       "Here:\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"Q: {question}\"</span> is input template,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"{prompt}\"</span> is the LLM prompt,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"A: {answer}\"</span> is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "Next, you will carefully review your reasoning in step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model \u001b[1m(\u001b[0mLLM\u001b[1m)\u001b[0m to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: \u001b[1m{\u001b[0mquestion\u001b[1m}\u001b[0m\n",
       "\u001b[1m{\u001b[0mprompt\u001b[1m}\u001b[0m\n",
       "A: \u001b[1m{\u001b[0manswer\u001b[1m}\u001b[0m\n",
       "```\n",
       "\n",
       "Here:\n",
       "- \u001b[32m\"Q: \u001b[0m\u001b[32m{\u001b[0m\u001b[32mquestion\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is input template,\n",
       "- \u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32mprompt\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the LLM prompt,\n",
       "- \u001b[32m\"A: \u001b[0m\u001b[32m{\u001b[0m\u001b[32manswer\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step \u001b[1;36m1\u001b[0m\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step \u001b[1;36m2\u001b[0m\n",
       "Next, you will carefully review your reasoning in step \u001b[1;36m1\u001b[0m, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Clearly identify and understand the relationships and conditions described within the problem, including \n",
       "distinguishing between current information and future projections or comparisons.\n",
       "- Determine the appropriate mathematical operations needed for a solution, such as addition, subtraction, \n",
       "multiplication, division, or the application of ratios and proportions.\n",
       "- Execute the necessary calculations meticulously, confirming that all arithmetic complies with the problem's \n",
       "conditions and that calculations involving changes over time, such as age or growth, are addressed with accuracy.\n",
       "- Verbally detail each step of your calculation process, including the setup of any equations or proportions, to \n",
       "ensure the logic behind each step is transparent and to clarify the path taken to arrive at the final answer.\n",
       "- Review your calculations to verify that the final answer is consistent with the scenario presented, resolving any\n",
       "discrepancies and ensuring accuracy before providing the final solution.\n",
       "\n",
       "## Examples\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>\n",
       "\n",
       "Q: Tom decides to renovate a house.  There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> bedrooms and each bedroom takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> hours to renovate.  The kitchen \n",
       "takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% longer than each bedroom.  The living room took twice as much time as everything else combined.  How long\n",
       "did everything take?\n",
       "\n",
       "A: \n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Identify the relationships and conditions described in the problem.\n",
       "- There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> bedrooms that each take <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> hours to renovate.\n",
       "- The kitchen takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% longer than each bedroom, meaning it takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> hours to renovate.\n",
       "- The living room took twice as much time as everything else combined, meaning it took <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> hours to renovate.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the appropriate mathematical operations needed for a solution.\n",
       "- To find the total time for everything, we will need to add the time for each room together.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Execute the necessary calculations.\n",
       "- Total time for bedrooms: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> bedrooms x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> hours per bedroom = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span> hours\n",
       "- Time for kitchen: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> hours\n",
       "- Time for living room: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> hours\n",
       "- Total time for everything: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span> hours + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> hours + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> hours = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span> hours\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Verbally detail each step of your calculation process.\n",
       "- To find the total time for everything, we first need to find the time for each room.\n",
       "- We know that there are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> bedrooms and each takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> hours, so we multiply <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> to get <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span> hours.\n",
       "- The kitchen takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% longer than each bedroom, so we add <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> hours <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> hours<span style=\"font-weight: bold\">)</span> to the <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> hours for each \n",
       "bedroom, giving us <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> hours for the kitchen.\n",
       "- The living room took twice as much time as everything else combined, so we add the time for the bedrooms <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span> \n",
       "hours<span style=\"font-weight: bold\">)</span> and the kitchen <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> hours<span style=\"font-weight: bold\">)</span> together to get <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span> hours. Then we double that to get <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> hours for the living room.\n",
       "- Finally, we add the time for each room together to get the total time for everything: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span> hours + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span> hours + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> \n",
       "hours = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span> hours.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Review your calculations.\n",
       "- The final answer of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span> hours is consistent with the scenario presented, as each room's time and the living room's\n",
       "time are all accounted for and added together.\n",
       "- The calculations also comply with the problem's conditions, as the time for each room is accurately determined \n",
       "based on the given information.\n",
       "- Therefore, the final solution is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span> hours for everything to be renovated.\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"The kitchen took <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> * .<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> = <span style=\"font-weight: bold\">&lt;</span><span style=\"color: #000000; text-decoration-color: #000000\">&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\">*.</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours longer than </span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">the bedrooms</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">So the kitchen took </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\"> + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">The bedrooms took </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\"> * </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\">*</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">So the kitchen and bedrooms combined took </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span><span style=\"color: #000000; text-decoration-color: #000000\"> + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">The living room took </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span><span style=\"color: #000000; text-decoration-color: #000000\"> * </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span><span style=\"color: #000000; text-decoration-color: #000000\">*</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">36</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">36</span><span style=\"color: #000000; text-decoration-color: #000000\"> hours</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">So everything took a total of </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span><span style=\"color: #000000; text-decoration-color: #000000\"> + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">36</span><span style=\"color: #000000; text-decoration-color: #000000\"> = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">18</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">36</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">54</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;</span><span style=\"font-weight: bold\">&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">54</span> hours\n",
       "#### <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">54</span>\"\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "\n",
       "Q: Mike has to get an x-ray and an MRI.  The x-ray is $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">250</span> and the MRI is triple that cost.  Insurance covers <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>%. \n",
       "How much did he pay?\n",
       "\n",
       "A: \n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Identify the relationships and conditions described in the problem.\n",
       "- Mike needs to get an x-ray and an MRI.\n",
       "- The cost of the x-ray is $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">250</span>.\n",
       "- The cost of the MRI is triple the cost of the x-ray.\n",
       "- Insurance covers <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>% of the cost.\n",
       "- We need to find out how much Mike paid.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the appropriate mathematical operations needed for a solution.\n",
       "- We need to find the total cost of the x-ray and MRI.\n",
       "- We need to calculate <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>% of the total cost.\n",
       "- We need to subtract the insurance coverage from the total cost to find out how much Mike paid.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Execute the necessary calculations meticulously.\n",
       "- The cost of the MRI is triple the cost of the x-ray, so it is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> times $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">250</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">750</span>.\n",
       "- The total cost is $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">250</span> + $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">750</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1000</span>.\n",
       "- <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>% of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1000</span> is <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>/<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span><span style=\"font-weight: bold\">)</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1000</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">800</span>.\n",
       "- Mike paid $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1000</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">800</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span>.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Verbally detail each step of your calculation process.\n",
       "- We first calculated the cost of the MRI by multiplying the cost of the x-ray by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>.\n",
       "- Then, we added the cost of the x-ray and MRI to find the total cost.\n",
       "- Next, we calculated <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>% of the total cost by multiplying it by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>/<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span>.\n",
       "- Finally, we subtracted the insurance coverage from the total cost to find out how much Mike paid.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Review your calculations to verify the final answer.\n",
       "- The final answer of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> is consistent with the scenario presented.\n",
       "- Mike paid $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> for the x-ray and MRI after insurance coverage, which is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>% of the total cost.\n",
       "- This means that the insurance covered <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80</span>% of the total cost, as stated in the problem.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "\n",
       "Q: Amanda and her family are going to re-paint all the walls inside their house. Before they get started they want \n",
       "to divide up the work. Since all the rooms in the house have different numbers and sizes of walls in them, they \n",
       "figure the fairest way to divide up the work is to count all the walls in the house and assign an equal number to \n",
       "each person. There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> people in Amanda's family, including herself. There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> rooms in the house. <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> of the \n",
       "rooms have <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> walls each. The other <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> rooms each have <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> walls each. To be fair, how many walls should each person in\n",
       "Amanda's family paint?\n",
       "\n",
       "A: \n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Identify and understand the relationships and conditions described in the problem.\n",
       "- There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> people in Amanda's family, including herself.\n",
       "- There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> rooms in the house.\n",
       "- <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> of the rooms have <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> walls each.\n",
       "- The other <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> rooms each have <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> walls each.\n",
       "- The family wants to divide up the work of painting all the walls in the house equally.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the appropriate mathematical operations needed for a solution.\n",
       "- To divide the work equally, we need to find the total number of walls in the house and divide it by the number of\n",
       "people in the family.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Execute the necessary calculations meticulously.\n",
       "- Total number of walls in the house = <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> rooms x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> walls per room<span style=\"font-weight: bold\">)</span> + <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> rooms x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> walls per room<span style=\"font-weight: bold\">)</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> \n",
       "walls\n",
       "- Number of walls each person should paint = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> walls <span style=\"color: #800080; text-decoration-color: #800080\">/</span> <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> people = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> walls per person\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Verbally detail each step of your calculation process.\n",
       "- To find the total number of walls in the house, we add the number of walls in each room. There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> rooms with <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>\n",
       "walls each, so we multiply <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> to get <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> walls. There are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> rooms with <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> walls each, so we multiply <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> to \n",
       "get another <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> walls. Adding these two numbers together, we get a total of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> walls in the house.\n",
       "- To divide the work equally, we divide the total number of walls by the number of people in the family. In this \n",
       "case, there are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> people in the family, so we divide <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> walls by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> to get <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> walls per person.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Review your calculations to verify the final answer.\n",
       "- The final answer of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> walls per person is consistent with the scenario presented. Each person in the family will \n",
       "have an equal amount of work to do, with each person painting <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> walls.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>\n",
       "\n",
       "Q: Sean designs and sells patches.  He orders his patches in a unit of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> and is charged $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.25</span> per patch.  If he \n",
       "turns around and sells all <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> patches for $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.00</span> each, what is his net profit?\n",
       "\n",
       "A: \n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Identify the relationships and conditions described in the problem.\n",
       "- Sean designs and sells patches.\n",
       "- He orders patches in a unit of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span>.\n",
       "- He is charged $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.25</span> per patch.\n",
       "- He sells all <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> patches for $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.00</span> each.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the appropriate mathematical operations needed for a solution.\n",
       "To find the net profit, we need to subtract the cost of the patches from the total revenue earned from selling \n",
       "them.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Execute the necessary calculations.\n",
       "- Cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> patches = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.25</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">125</span>\n",
       "- Revenue from selling <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> patches = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.00</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1200</span>\n",
       "- Net profit = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1200</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">125</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1075</span>\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Verbally detail each step of your calculation process.\n",
       "To find the net profit, we first need to calculate the cost of the patches by multiplying the number of patches \n",
       "<span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span><span style=\"font-weight: bold\">)</span> by the cost per patch <span style=\"font-weight: bold\">(</span>$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.25</span><span style=\"font-weight: bold\">)</span>. This gives us a total cost of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">125</span>. Next, we need to calculate the revenue \n",
       "earned from selling the patches by multiplying the number of patches <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span><span style=\"font-weight: bold\">)</span> by the selling price per patch <span style=\"font-weight: bold\">(</span>$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.00</span><span style=\"font-weight: bold\">)</span>.\n",
       "This gives us a total revenue of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1200</span>. Finally, we can find the net profit by subtracting the cost of the patches \n",
       "from the total revenue earned, which gives us a net profit of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1075</span>.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Review your calculations.\n",
       "The final answer of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1075</span> is consistent with the scenario presented, as it represents the profit earned from \n",
       "selling <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> patches at a price of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.00</span> each after deducting the cost of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">125</span> for purchasing the patches.\n",
       "\n",
       "Therefore, Sean's net profit is $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1075</span>.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>\n",
       "\n",
       "Q: Autumn was constantly misplacing her pencils.  At the start of the school year, she purchased a pack of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> \n",
       "pencils.  In the first month of school, she misplaced <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> pencils, broke <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> pencils and had to throw them away, she \n",
       "found <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>, and bought <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>.  How many pencils did Autumn have left?\n",
       "\n",
       "A: \n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Identify the relationships and conditions described in the problem.\n",
       "- Autumn purchased a pack of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> pencils at the start of the school year.\n",
       "- In the first month of school, she misplaced <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> pencils, broke <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> pencils, found <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> pencils, and bought <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> pencils.\n",
       "- The problem is asking for the number of pencils Autumn has left after the first month of school.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the appropriate mathematical operations needed for a solution.\n",
       "- We will need to use subtraction to find the number of pencils Autumn has left.\n",
       "- We will also need to use addition to account for the pencils she found and bought.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Execute the necessary calculations.\n",
       "- First, we will subtract the number of pencils she misplaced and broke from the total number of pencils she \n",
       "started with: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> - <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span> - <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span>.\n",
       "- Next, we will add the number of pencils she found and bought: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span>.\n",
       "- Therefore, Autumn has <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span> pencils left after the first month of school.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Review the calculations.\n",
       "- The final answer of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span> pencils is consistent with the scenario presented.\n",
       "- We have accounted for all the pencils that were misplaced, broken, found, and bought.\n",
       "- Therefore, our solution is accurate.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Final answer.\n",
       "- After the first month of school, Autumn has <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">16</span> pencils left.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Clearly identify and understand the relationships and conditions described within the problem, including \n",
       "distinguishing between current information and future projections or comparisons.\n",
       "- Determine the appropriate mathematical operations needed for a solution, such as addition, subtraction, \n",
       "multiplication, division, or the application of ratios and proportions.\n",
       "- Execute the necessary calculations meticulously, confirming that all arithmetic complies with the problem's \n",
       "conditions and that calculations involving changes over time, such as age or growth, are addressed with accuracy.\n",
       "- Verbally detail each step of your calculation process, including the setup of any equations or proportions, to \n",
       "ensure the logic behind each step is transparent and to clarify the path taken to arrive at the final answer.\n",
       "- Review your calculations to verify that the final answer is consistent with the scenario presented, resolving any\n",
       "discrepancies and ensuring accuracy before providing the final solution.\n",
       "\n",
       "## Examples\n",
       "### Example #\u001b[1;36m0\u001b[0m\n",
       "\n",
       "Q: Tom decides to renovate a house.  There are \u001b[1;36m3\u001b[0m bedrooms and each bedroom takes \u001b[1;36m4\u001b[0m hours to renovate.  The kitchen \n",
       "takes \u001b[1;36m50\u001b[0m% longer than each bedroom.  The living room took twice as much time as everything else combined.  How long\n",
       "did everything take?\n",
       "\n",
       "A: \n",
       "Step \u001b[1;36m1\u001b[0m: Identify the relationships and conditions described in the problem.\n",
       "- There are \u001b[1;36m3\u001b[0m bedrooms that each take \u001b[1;36m4\u001b[0m hours to renovate.\n",
       "- The kitchen takes \u001b[1;36m50\u001b[0m% longer than each bedroom, meaning it takes \u001b[1;36m6\u001b[0m hours to renovate.\n",
       "- The living room took twice as much time as everything else combined, meaning it took \u001b[1;36m24\u001b[0m hours to renovate.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the appropriate mathematical operations needed for a solution.\n",
       "- To find the total time for everything, we will need to add the time for each room together.\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Execute the necessary calculations.\n",
       "- Total time for bedrooms: \u001b[1;36m3\u001b[0m bedrooms x \u001b[1;36m4\u001b[0m hours per bedroom = \u001b[1;36m12\u001b[0m hours\n",
       "- Time for kitchen: \u001b[1;36m6\u001b[0m hours\n",
       "- Time for living room: \u001b[1;36m24\u001b[0m hours\n",
       "- Total time for everything: \u001b[1;36m12\u001b[0m hours + \u001b[1;36m6\u001b[0m hours + \u001b[1;36m24\u001b[0m hours = \u001b[1;36m42\u001b[0m hours\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Verbally detail each step of your calculation process.\n",
       "- To find the total time for everything, we first need to find the time for each room.\n",
       "- We know that there are \u001b[1;36m3\u001b[0m bedrooms and each takes \u001b[1;36m4\u001b[0m hours, so we multiply \u001b[1;36m3\u001b[0m by \u001b[1;36m4\u001b[0m to get \u001b[1;36m12\u001b[0m hours.\n",
       "- The kitchen takes \u001b[1;36m50\u001b[0m% longer than each bedroom, so we add \u001b[1;36m50\u001b[0m% of \u001b[1;36m4\u001b[0m hours \u001b[1m(\u001b[0m\u001b[1;36m2\u001b[0m hours\u001b[1m)\u001b[0m to the \u001b[1;36m4\u001b[0m hours for each \n",
       "bedroom, giving us \u001b[1;36m6\u001b[0m hours for the kitchen.\n",
       "- The living room took twice as much time as everything else combined, so we add the time for the bedrooms \u001b[1m(\u001b[0m\u001b[1;36m12\u001b[0m \n",
       "hours\u001b[1m)\u001b[0m and the kitchen \u001b[1m(\u001b[0m\u001b[1;36m6\u001b[0m hours\u001b[1m)\u001b[0m together to get \u001b[1;36m18\u001b[0m hours. Then we double that to get \u001b[1;36m24\u001b[0m hours for the living room.\n",
       "- Finally, we add the time for each room together to get the total time for everything: \u001b[1;36m12\u001b[0m hours + \u001b[1;36m6\u001b[0m hours + \u001b[1;36m24\u001b[0m \n",
       "hours = \u001b[1;36m42\u001b[0m hours.\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Review your calculations.\n",
       "- The final answer of \u001b[1;36m42\u001b[0m hours is consistent with the scenario presented, as each room's time and the living room's\n",
       "time are all accounted for and added together.\n",
       "- The calculations also comply with the problem's conditions, as the time for each room is accurately determined \n",
       "based on the given information.\n",
       "- Therefore, the final solution is \u001b[1;36m42\u001b[0m hours for everything to be renovated.\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"The kitchen took \u001b[1;36m4\u001b[0m * .\u001b[1;36m5\u001b[0m = \u001b[1m<\u001b[0m\u001b[39m<\u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m*.\u001b[0m\u001b[1;36m5\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m hours longer than \u001b[0m\n",
       "\u001b[39mthe bedrooms\u001b[0m\n",
       "\u001b[39mSo the kitchen took \u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m + \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m6\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m6\u001b[0m\u001b[39m hours\u001b[0m\n",
       "\u001b[39mThe bedrooms took \u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m * \u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m*\u001b[0m\u001b[1;36m4\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m12\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m12\u001b[0m\u001b[39m hours\u001b[0m\n",
       "\u001b[39mSo the kitchen and bedrooms combined took \u001b[0m\u001b[1;36m12\u001b[0m\u001b[39m + \u001b[0m\u001b[1;36m6\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m12\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m6\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m18\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m18\u001b[0m\u001b[39m hours\u001b[0m\n",
       "\u001b[39mThe living room took \u001b[0m\u001b[1;36m18\u001b[0m\u001b[39m * \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m18\u001b[0m\u001b[39m*\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m36\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m36\u001b[0m\u001b[39m hours\u001b[0m\n",
       "\u001b[39mSo everything took a total of \u001b[0m\u001b[1;36m18\u001b[0m\u001b[39m + \u001b[0m\u001b[1;36m36\u001b[0m\u001b[39m = <<\u001b[0m\u001b[1;36m18\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m36\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m54\u001b[0m\u001b[39m>\u001b[0m\u001b[1m>\u001b[0m\u001b[1;36m54\u001b[0m hours\n",
       "#### \u001b[1;36m54\u001b[0m\"\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m1\u001b[0m\n",
       "\n",
       "Q: Mike has to get an x-ray and an MRI.  The x-ray is $\u001b[1;36m250\u001b[0m and the MRI is triple that cost.  Insurance covers \u001b[1;36m80\u001b[0m%. \n",
       "How much did he pay?\n",
       "\n",
       "A: \n",
       "Step \u001b[1;36m1\u001b[0m: Identify the relationships and conditions described in the problem.\n",
       "- Mike needs to get an x-ray and an MRI.\n",
       "- The cost of the x-ray is $\u001b[1;36m250\u001b[0m.\n",
       "- The cost of the MRI is triple the cost of the x-ray.\n",
       "- Insurance covers \u001b[1;36m80\u001b[0m% of the cost.\n",
       "- We need to find out how much Mike paid.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the appropriate mathematical operations needed for a solution.\n",
       "- We need to find the total cost of the x-ray and MRI.\n",
       "- We need to calculate \u001b[1;36m80\u001b[0m% of the total cost.\n",
       "- We need to subtract the insurance coverage from the total cost to find out how much Mike paid.\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Execute the necessary calculations meticulously.\n",
       "- The cost of the MRI is triple the cost of the x-ray, so it is \u001b[1;36m3\u001b[0m times $\u001b[1;36m250\u001b[0m = $\u001b[1;36m750\u001b[0m.\n",
       "- The total cost is $\u001b[1;36m250\u001b[0m + $\u001b[1;36m750\u001b[0m = $\u001b[1;36m1000\u001b[0m.\n",
       "- \u001b[1;36m80\u001b[0m% of $\u001b[1;36m1000\u001b[0m is \u001b[1m(\u001b[0m\u001b[1;36m80\u001b[0m/\u001b[1;36m100\u001b[0m\u001b[1m)\u001b[0m x $\u001b[1;36m1000\u001b[0m = $\u001b[1;36m800\u001b[0m.\n",
       "- Mike paid $\u001b[1;36m1000\u001b[0m - $\u001b[1;36m800\u001b[0m = $\u001b[1;36m200\u001b[0m.\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Verbally detail each step of your calculation process.\n",
       "- We first calculated the cost of the MRI by multiplying the cost of the x-ray by \u001b[1;36m3\u001b[0m.\n",
       "- Then, we added the cost of the x-ray and MRI to find the total cost.\n",
       "- Next, we calculated \u001b[1;36m80\u001b[0m% of the total cost by multiplying it by \u001b[1;36m80\u001b[0m/\u001b[1;36m100\u001b[0m.\n",
       "- Finally, we subtracted the insurance coverage from the total cost to find out how much Mike paid.\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Review your calculations to verify the final answer.\n",
       "- The final answer of $\u001b[1;36m200\u001b[0m is consistent with the scenario presented.\n",
       "- Mike paid $\u001b[1;36m200\u001b[0m for the x-ray and MRI after insurance coverage, which is \u001b[1;36m20\u001b[0m% of the total cost.\n",
       "- This means that the insurance covered \u001b[1;36m80\u001b[0m% of the total cost, as stated in the problem.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m2\u001b[0m\n",
       "\n",
       "Q: Amanda and her family are going to re-paint all the walls inside their house. Before they get started they want \n",
       "to divide up the work. Since all the rooms in the house have different numbers and sizes of walls in them, they \n",
       "figure the fairest way to divide up the work is to count all the walls in the house and assign an equal number to \n",
       "each person. There are \u001b[1;36m5\u001b[0m people in Amanda's family, including herself. There are \u001b[1;36m9\u001b[0m rooms in the house. \u001b[1;36m5\u001b[0m of the \n",
       "rooms have \u001b[1;36m4\u001b[0m walls each. The other \u001b[1;36m4\u001b[0m rooms each have \u001b[1;36m5\u001b[0m walls each. To be fair, how many walls should each person in\n",
       "Amanda's family paint?\n",
       "\n",
       "A: \n",
       "Step \u001b[1;36m1\u001b[0m: Identify and understand the relationships and conditions described in the problem.\n",
       "- There are \u001b[1;36m5\u001b[0m people in Amanda's family, including herself.\n",
       "- There are \u001b[1;36m9\u001b[0m rooms in the house.\n",
       "- \u001b[1;36m5\u001b[0m of the rooms have \u001b[1;36m4\u001b[0m walls each.\n",
       "- The other \u001b[1;36m4\u001b[0m rooms each have \u001b[1;36m5\u001b[0m walls each.\n",
       "- The family wants to divide up the work of painting all the walls in the house equally.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the appropriate mathematical operations needed for a solution.\n",
       "- To divide the work equally, we need to find the total number of walls in the house and divide it by the number of\n",
       "people in the family.\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Execute the necessary calculations meticulously.\n",
       "- Total number of walls in the house = \u001b[1m(\u001b[0m\u001b[1;36m5\u001b[0m rooms x \u001b[1;36m4\u001b[0m walls per room\u001b[1m)\u001b[0m + \u001b[1m(\u001b[0m\u001b[1;36m4\u001b[0m rooms x \u001b[1;36m5\u001b[0m walls per room\u001b[1m)\u001b[0m = \u001b[1;36m20\u001b[0m + \u001b[1;36m20\u001b[0m = \u001b[1;36m40\u001b[0m \n",
       "walls\n",
       "- Number of walls each person should paint = \u001b[1;36m40\u001b[0m walls \u001b[35m/\u001b[0m \u001b[1;36m5\u001b[0m people = \u001b[1;36m8\u001b[0m walls per person\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Verbally detail each step of your calculation process.\n",
       "- To find the total number of walls in the house, we add the number of walls in each room. There are \u001b[1;36m5\u001b[0m rooms with \u001b[1;36m4\u001b[0m\n",
       "walls each, so we multiply \u001b[1;36m5\u001b[0m by \u001b[1;36m4\u001b[0m to get \u001b[1;36m20\u001b[0m walls. There are \u001b[1;36m4\u001b[0m rooms with \u001b[1;36m5\u001b[0m walls each, so we multiply \u001b[1;36m4\u001b[0m by \u001b[1;36m5\u001b[0m to \n",
       "get another \u001b[1;36m20\u001b[0m walls. Adding these two numbers together, we get a total of \u001b[1;36m40\u001b[0m walls in the house.\n",
       "- To divide the work equally, we divide the total number of walls by the number of people in the family. In this \n",
       "case, there are \u001b[1;36m5\u001b[0m people in the family, so we divide \u001b[1;36m40\u001b[0m walls by \u001b[1;36m5\u001b[0m to get \u001b[1;36m8\u001b[0m walls per person.\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Review your calculations to verify the final answer.\n",
       "- The final answer of \u001b[1;36m8\u001b[0m walls per person is consistent with the scenario presented. Each person in the family will \n",
       "have an equal amount of work to do, with each person painting \u001b[1;36m8\u001b[0m walls.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m3\u001b[0m\n",
       "\n",
       "Q: Sean designs and sells patches.  He orders his patches in a unit of \u001b[1;36m100\u001b[0m and is charged $\u001b[1;36m1.25\u001b[0m per patch.  If he \n",
       "turns around and sells all \u001b[1;36m100\u001b[0m patches for $\u001b[1;36m12.00\u001b[0m each, what is his net profit?\n",
       "\n",
       "A: \n",
       "Step \u001b[1;36m1\u001b[0m: Identify the relationships and conditions described in the problem.\n",
       "- Sean designs and sells patches.\n",
       "- He orders patches in a unit of \u001b[1;36m100\u001b[0m.\n",
       "- He is charged $\u001b[1;36m1.25\u001b[0m per patch.\n",
       "- He sells all \u001b[1;36m100\u001b[0m patches for $\u001b[1;36m12.00\u001b[0m each.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the appropriate mathematical operations needed for a solution.\n",
       "To find the net profit, we need to subtract the cost of the patches from the total revenue earned from selling \n",
       "them.\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Execute the necessary calculations.\n",
       "- Cost of \u001b[1;36m100\u001b[0m patches = \u001b[1;36m100\u001b[0m x $\u001b[1;36m1.25\u001b[0m = $\u001b[1;36m125\u001b[0m\n",
       "- Revenue from selling \u001b[1;36m100\u001b[0m patches = \u001b[1;36m100\u001b[0m x $\u001b[1;36m12.00\u001b[0m = $\u001b[1;36m1200\u001b[0m\n",
       "- Net profit = $\u001b[1;36m1200\u001b[0m - $\u001b[1;36m125\u001b[0m = $\u001b[1;36m1075\u001b[0m\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Verbally detail each step of your calculation process.\n",
       "To find the net profit, we first need to calculate the cost of the patches by multiplying the number of patches \n",
       "\u001b[1m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1m)\u001b[0m by the cost per patch \u001b[1m(\u001b[0m$\u001b[1;36m1.25\u001b[0m\u001b[1m)\u001b[0m. This gives us a total cost of $\u001b[1;36m125\u001b[0m. Next, we need to calculate the revenue \n",
       "earned from selling the patches by multiplying the number of patches \u001b[1m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1m)\u001b[0m by the selling price per patch \u001b[1m(\u001b[0m$\u001b[1;36m12.00\u001b[0m\u001b[1m)\u001b[0m.\n",
       "This gives us a total revenue of $\u001b[1;36m1200\u001b[0m. Finally, we can find the net profit by subtracting the cost of the patches \n",
       "from the total revenue earned, which gives us a net profit of $\u001b[1;36m1075\u001b[0m.\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Review your calculations.\n",
       "The final answer of $\u001b[1;36m1075\u001b[0m is consistent with the scenario presented, as it represents the profit earned from \n",
       "selling \u001b[1;36m100\u001b[0m patches at a price of $\u001b[1;36m12.00\u001b[0m each after deducting the cost of $\u001b[1;36m125\u001b[0m for purchasing the patches.\n",
       "\n",
       "Therefore, Sean's net profit is $\u001b[1;36m1075\u001b[0m.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m4\u001b[0m\n",
       "\n",
       "Q: Autumn was constantly misplacing her pencils.  At the start of the school year, she purchased a pack of \u001b[1;36m20\u001b[0m \n",
       "pencils.  In the first month of school, she misplaced \u001b[1;36m7\u001b[0m pencils, broke \u001b[1;36m3\u001b[0m pencils and had to throw them away, she \n",
       "found \u001b[1;36m4\u001b[0m, and bought \u001b[1;36m2\u001b[0m.  How many pencils did Autumn have left?\n",
       "\n",
       "A: \n",
       "Step \u001b[1;36m1\u001b[0m: Identify the relationships and conditions described in the problem.\n",
       "- Autumn purchased a pack of \u001b[1;36m20\u001b[0m pencils at the start of the school year.\n",
       "- In the first month of school, she misplaced \u001b[1;36m7\u001b[0m pencils, broke \u001b[1;36m3\u001b[0m pencils, found \u001b[1;36m4\u001b[0m pencils, and bought \u001b[1;36m2\u001b[0m pencils.\n",
       "- The problem is asking for the number of pencils Autumn has left after the first month of school.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the appropriate mathematical operations needed for a solution.\n",
       "- We will need to use subtraction to find the number of pencils Autumn has left.\n",
       "- We will also need to use addition to account for the pencils she found and bought.\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Execute the necessary calculations.\n",
       "- First, we will subtract the number of pencils she misplaced and broke from the total number of pencils she \n",
       "started with: \u001b[1;36m20\u001b[0m - \u001b[1;36m7\u001b[0m - \u001b[1;36m3\u001b[0m = \u001b[1;36m10\u001b[0m.\n",
       "- Next, we will add the number of pencils she found and bought: \u001b[1;36m10\u001b[0m + \u001b[1;36m4\u001b[0m + \u001b[1;36m2\u001b[0m = \u001b[1;36m16\u001b[0m.\n",
       "- Therefore, Autumn has \u001b[1;36m16\u001b[0m pencils left after the first month of school.\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Review the calculations.\n",
       "- The final answer of \u001b[1;36m16\u001b[0m pencils is consistent with the scenario presented.\n",
       "- We have accounted for all the pencils that were misplaced, broken, found, and bought.\n",
       "- Therefore, our solution is accurate.\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Final answer.\n",
       "- After the first month of school, Autumn has \u001b[1;36m16\u001b[0m pencils left.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "Upon reviewing the examples provided, only Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span> yielded an incorrect prediction. All other predictions \n",
       "<span style=\"font-weight: bold\">(</span>Examples #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>, #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>, and #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"font-weight: bold\">)</span> were correct, indicating that the prompt is generally effective in guiding the model \n",
       "to produce accurate responses for arithmetic word problems. However, an inconsistency in the computational logic \n",
       "was present in the incorrect prediction, which needs to be addressed.\n",
       "\n",
       "### Analysis of Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>'s Incorrect Prediction\n",
       "\n",
       "The model failed to calculate the correct amount of time taken to renovate the kitchen and subsequently \n",
       "miscalculate the time taken to renovate the living room and the total time for the entire renovation. This \n",
       "indicates that while the prompt strongly emphasizes the process of solving arithmetic word problems, there might be\n",
       "a slight lack of clarity regarding the treatment of percentage increases and the combinatory calculations for \n",
       "multi-step problems.\n",
       "\n",
       "### Suggested Changes to the Prompt\n",
       "\n",
       "The following adjustments to the prompt could help to mitigate issues such as the one seen in Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. **Clarify Handling Percentages**: Include explicit instructions to accommodate understanding and correctly \n",
       "applying percentage increases or decreases in the context of the given problem.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. **Emphasize Multi-step Problem Solving**: Stress the importance of breaking down multi-step problems into \n",
       "smaller, sequential steps that build upon each other to ensure that all dependencies are calculated correctly \n",
       "before proceeding.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. **Incorporate Double-Checking Mechanisms**: Encourage a secondary review of each step in a multi-step problem \n",
       "independently, especially when dealing with percentages and proportions, to catch and correct mistakes prior to \n",
       "combining results for a final answer.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>. **Highlight the Importance of Correct Order of Operations**: Emphasize that the logical order of steps is \n",
       "crucial when solving complex problems, and the solution must hold up under scrutiny with respect to real-world \n",
       "logic.\n",
       "\n",
       "The adjusted section of the prompt could be:\n",
       "\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"When facing multi-step problems, particularly those involving percentage increases or decreases, take special </span>\n",
       "<span style=\"color: #008000; text-decoration-color: #008000\">care to perform isolated calculations for each distinct step before combining them. Double-check each independent </span>\n",
       "<span style=\"color: #008000; text-decoration-color: #008000\">calculation to ensure its accuracy. Take extra caution to execute calculations in the correct sequence as per the </span>\n",
       "<span style=\"color: #008000; text-decoration-color: #008000\">logical order of events or conditions described in the problem. Explain your calculations with attention to the </span>\n",
       "<span style=\"color: #008000; text-decoration-color: #008000\">real-world logic of the story problem, making sure they are coherent and reasonable.\"</span>\n",
       "\n",
       "Implementing these changes to the current prompt should lead to improved accuracy for the model, especially in more\n",
       "complex multi-step arithmetic word problems with percentages and combined dependencies.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "Upon reviewing the examples provided, only Example #\u001b[1;36m0\u001b[0m yielded an incorrect prediction. All other predictions \n",
       "\u001b[1m(\u001b[0mExamples #\u001b[1;36m1\u001b[0m, #\u001b[1;36m2\u001b[0m, #\u001b[1;36m3\u001b[0m, and #\u001b[1;36m4\u001b[0m\u001b[1m)\u001b[0m were correct, indicating that the prompt is generally effective in guiding the model \n",
       "to produce accurate responses for arithmetic word problems. However, an inconsistency in the computational logic \n",
       "was present in the incorrect prediction, which needs to be addressed.\n",
       "\n",
       "### Analysis of Example #\u001b[1;36m0\u001b[0m's Incorrect Prediction\n",
       "\n",
       "The model failed to calculate the correct amount of time taken to renovate the kitchen and subsequently \n",
       "miscalculate the time taken to renovate the living room and the total time for the entire renovation. This \n",
       "indicates that while the prompt strongly emphasizes the process of solving arithmetic word problems, there might be\n",
       "a slight lack of clarity regarding the treatment of percentage increases and the combinatory calculations for \n",
       "multi-step problems.\n",
       "\n",
       "### Suggested Changes to the Prompt\n",
       "\n",
       "The following adjustments to the prompt could help to mitigate issues such as the one seen in Example #\u001b[1;36m0\u001b[0m:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. **Clarify Handling Percentages**: Include explicit instructions to accommodate understanding and correctly \n",
       "applying percentage increases or decreases in the context of the given problem.\n",
       "\n",
       "\u001b[1;36m2\u001b[0m. **Emphasize Multi-step Problem Solving**: Stress the importance of breaking down multi-step problems into \n",
       "smaller, sequential steps that build upon each other to ensure that all dependencies are calculated correctly \n",
       "before proceeding.\n",
       "\n",
       "\u001b[1;36m3\u001b[0m. **Incorporate Double-Checking Mechanisms**: Encourage a secondary review of each step in a multi-step problem \n",
       "independently, especially when dealing with percentages and proportions, to catch and correct mistakes prior to \n",
       "combining results for a final answer.\n",
       "\n",
       "\u001b[1;36m4\u001b[0m. **Highlight the Importance of Correct Order of Operations**: Emphasize that the logical order of steps is \n",
       "crucial when solving complex problems, and the solution must hold up under scrutiny with respect to real-world \n",
       "logic.\n",
       "\n",
       "The adjusted section of the prompt could be:\n",
       "\n",
       "- \u001b[32m\"When facing multi-step problems, particularly those involving percentage increases or decreases, take special \u001b[0m\n",
       "\u001b[32mcare to perform isolated calculations for each distinct step before combining them. Double-check each independent \u001b[0m\n",
       "\u001b[32mcalculation to ensure its accuracy. Take extra caution to execute calculations in the correct sequence as per the \u001b[0m\n",
       "\u001b[32mlogical order of events or conditions described in the problem. Explain your calculations with attention to the \u001b[0m\n",
       "\u001b[32mreal-world logic of the story problem, making sure they are coherent and reasonable.\"\u001b[0m\n",
       "\n",
       "Implementing these changes to the current prompt should lead to improved accuracy for the model, especially in more\n",
       "complex multi-step arithmetic word problems with percentages and combined dependencies.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "Now please carefully review your reasoning in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and help with Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Clearly identify and understand the relationships and conditions described within the problem, including \n",
       "distinguishing between current information and future projections or comparisons.\n",
       "- Determine the appropriate mathematical operations needed for a solution, such as addition, subtraction, \n",
       "multiplication, division, or the application of ratios and proportions.\n",
       "- Execute the necessary calculations meticulously, confirming that all arithmetic complies with the problem's \n",
       "conditions and that calculations involving changes over time, such as age or growth, are addressed with accuracy.\n",
       "- Verbally detail each step of your calculation process, including the setup of any equations or proportions, to \n",
       "ensure the logic behind each step is transparent and to clarify the path taken to arrive at the final answer.\n",
       "- Review your calculations to verify that the final answer is consistent with the scenario presented, resolving any\n",
       "discrepancies and ensuring accuracy before providing the final solution.\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>.\n",
       "    Example:\n",
       "    - Current prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text.\"</span>\n",
       "    - New prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text. Pay attention to the original style.\"</span>\n",
       "        \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. Reply only with the new prompt. Do not include input and output templates in the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "Now please carefully review your reasoning in Step \u001b[1;36m1\u001b[0m and help with Step \u001b[1;36m2\u001b[0m: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Clearly identify and understand the relationships and conditions described within the problem, including \n",
       "distinguishing between current information and future projections or comparisons.\n",
       "- Determine the appropriate mathematical operations needed for a solution, such as addition, subtraction, \n",
       "multiplication, division, or the application of ratios and proportions.\n",
       "- Execute the necessary calculations meticulously, confirming that all arithmetic complies with the problem's \n",
       "conditions and that calculations involving changes over time, such as age or growth, are addressed with accuracy.\n",
       "- Verbally detail each step of your calculation process, including the setup of any equations or proportions, to \n",
       "ensure the logic behind each step is transparent and to clarify the path taken to arrive at the final answer.\n",
       "- Review your calculations to verify that the final answer is consistent with the scenario presented, resolving any\n",
       "discrepancies and ensuring accuracy before providing the final solution.\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "\u001b[1;36m2\u001b[0m. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step \u001b[1;36m1\u001b[0m.\n",
       "    Example:\n",
       "    - Current prompt: \u001b[32m\"The model should generate a summary of the input text.\"\u001b[0m\n",
       "    - New prompt: \u001b[32m\"The model should generate a summary of the input text. Pay attention to the original style.\"\u001b[0m\n",
       "        \n",
       "\u001b[1;36m3\u001b[0m. Reply only with the new prompt. Do not include input and output templates in the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "For each arithmetic word problem provided, you are to:\n",
       "- Car<span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span>ly identify and understand the relationships and conditions described within the problem, s<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span>ut<span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">z</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span>we<span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span> a<span style=\"background-color: lightgreen;\">s</span> an<span style=\"background-color: lightgreen;\">y</span> future projections or comparisons.\n",
       "- Determine the most a<span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span>o<span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span> <span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span>s<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span>u<span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span>b<span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">b</span>traction, multiplication, division, an<span style=\"background-color: lightgreen;\">d</span> t<span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span>i<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span>o<span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span>s<span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span> and proportions.\n",
       "- Execute the calculations with <span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span>the problem's conditions<span style=\"background-color: lightgreen;\">.</span> <span style=\"background-color: lightgreen;\">E</span>ns<span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span> involv<span style=\"background-color: lightgreen;\">e</span> changes over time, <span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">k</span><span style=\"background-color: lightgreen;\">e</span> age or growth ra<span style=\"background-color: lightgreen;\">t</span>es<span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span>e<span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span>d<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span> wh<span style=\"background-color: lightgreen;\">i</span>c<span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span>r<span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">q</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">x</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span>a<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span>c<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">l</span>y<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span>.\n",
       "- Verbally detail each step of your calculation process<span style=\"background-color: lightgreen;\">.</span> <span style=\"background-color: lightgreen;\">C</span>l<span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span>i<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span> the setup of any equations or proportions <span style=\"background-color: lightgreen;\">a</span>n<span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span>e<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span> the logic behind each step and e<span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">c</span>i<span style=\"background-color: lightgreen;\">d</span>ate<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span> final answer.\n",
       "- <span style=\"background-color: lightgreen;\">C</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span>eview <span style=\"background-color: lightgreen;\">e</span>ac<span style=\"background-color: lightgreen;\">h</span> <span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span>t<span style=\"background-color: lightgreen;\">i</span>o<span style=\"background-color: lightgreen;\">n</span> <span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">q</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">V</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span>ve an<span style=\"background-color: lightgreen;\">y</span> <span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span>s<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span>with an accurate solution."
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "\n",
       "=&gt; Iteration #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Getting feedback, analyzing and improving <span style=\"color: #808000; text-decoration-color: #808000\">...</span>\n",
       "</pre>\n"
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       "\n",
       "\n",
       "=> Iteration #\u001b[1;36m4\u001b[0m: Getting feedback, analyzing and improving \u001b[33m...\u001b[0m\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
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       "Applying skill: math_solver\n"
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     "text": [
      "100%|█| 5/5 [00:15<00:00, \n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Predictions and feedback:\n",
       "</pre>\n"
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      "text/plain": [
       "Predictions and feedback:\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">                                                                                                                   \n",
       " <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer__fb                          </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> question                            </span> <span style=\"color: #800080; text-decoration-color: #800080; font-weight: bold\"> answer                              </span> \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.                Brian can only hold his breath        1. Identify and understand the       \n",
       "                                        underwater for 10 seconds.  He        relationships and conditions:        \n",
       "                                        wants to get better, so he starts     - Brian can hold his breath for 10   \n",
       "                                        practicing.  After a week, he's       seconds.                             \n",
       "                                        doubled the amount of time he can     - After one week of practice, he     \n",
       "                                        do it.  After another week, he's      can hold his breath for 20 seconds.  \n",
       "                                        doubled it again from the previous    - After another week of practice,    \n",
       "                                        week.  The final week, he's           he can hold his breath for 40        \n",
       "                                        increased it by 50% from the          seconds.                             \n",
       "                                        previous week.  How long can Brian    - After the final week of practice,  \n",
       "                                        hold his breath for now?              he can hold his breath for 50%       \n",
       "                                                                              longer than the previous week.       \n",
       "                                                                                                                   \n",
       "                                                                              2. Determine the most appropriate    \n",
       "                                                                              mathematical operations:             \n",
       "                                                                              To find the final amount of time     \n",
       "                                                                              Brian can hold his breath, we will   \n",
       "                                                                              use multiplication and addition.     \n",
       "                                                                                                                   \n",
       "                                                                              3. Execute the calculations:         \n",
       "                                                                              First, we will calculate the amount  \n",
       "                                                                              of time Brian can hold his breath    \n",
       "                                                                              after the final week of practice:    \n",
       "                                                                              40 seconds x 1.5 = 60 seconds        \n",
       "                                                                              This means that after the final      \n",
       "                                                                              week of practice, Brian can hold     \n",
       "                                                                              his breath for 60 seconds.           \n",
       "                                                                                                                   \n",
       "                                                                              Next, we will add this amount to     \n",
       "                                                                              the previous week's time:            \n",
       "                                                                              60 seconds + 40 seconds = 100        \n",
       "                                                                              seconds                              \n",
       "                                                                              This means that after the final      \n",
       "                                                                              week of practice, Brian can hold     \n",
       "                                                                              his breath for 100 seconds.          \n",
       "                                                                                                                   \n",
       "                                                                              4. Verbally detail each step:        \n",
       "                                                                              To find the final amount of time     \n",
       "                                                                              Brian can hold his breath, we first  \n",
       "                                                                              multiplied the previous week's time  \n",
       "                                                                              (40 seconds) by 1.5 to account for   \n",
       "                                                                              the 50% increase. This gave us 60    \n",
       "                                                                              seconds. Then, we added this amount  \n",
       "                                                                              to the previous week's time to get   \n",
       "                                                                              a final result of 100 seconds.       \n",
       "                                                                                                                   \n",
       "                                                                              5. Critically review each            \n",
       "                                                                              calculation step:                    \n",
       "                                                                              The calculations appear to be        \n",
       "                                                                              correct. We multiplied the previous  \n",
       "                                                                              week's time by 1.5 to account for    \n",
       "                                                                              the 50% increase, and then added     \n",
       "                                                                              this amount to the previous week's   \n",
       "                                                                              time to get the final result of 100  \n",
       "                                                                              seconds.                             \n",
       "                                                                                                                   \n",
       "                                                                              6. Verify the final answer:          \n",
       "                                                                              The final answer of 100 seconds      \n",
       "                                                                              aligns with the given information    \n",
       "                                                                              and the calculations appear to be    \n",
       "                                                                              correct. Therefore, we can conclude  \n",
       "                                                                              that after the final week of         \n",
       "                                                                              practice, Brian can hold his breath  \n",
       "                                                                              for 100 seconds.                     \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> A shop sells laptops at $600 each   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> and a smartphone at $400.  Celine   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 1: Identify and understand the </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> buys two laptops and four           </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> relationships and conditions        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> smartphones for her children. How   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> described in the problem.           </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> much change does she get back if    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Celine is buying two laptops and  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> she has $3000?                      </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> four smartphones for her children.  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The laptops cost $600 each and    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the smartphones cost $400 each.     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Celine has $3000 to spend.        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 2: Determine the most          </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> appropriate mathematical operations </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> needed to find a solution.          </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Celine is buying a total of 2     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> laptops and 4 smartphones, so we    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> need to multiply the cost of each   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> item by the quantity.               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We also need to subtract the      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total cost from the amount of money </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Celine has to determine the change  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> she will receive.                   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 3: Execute the calculations    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> with precision.                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Cost of 2 laptops = 2 x $600 =    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $1200                               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Cost of 4 smartphones = 4 x $400  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> = $1600                             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Total cost = $1200 + $1600 =      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $2800                               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Change = $3000 - $2800 = $200     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 4: Verbally detail each step   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of your calculation process.        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - We first calculate the cost of 2  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> laptops by multiplying the cost of  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> each laptop ($600) by the quantity  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> (2).                                </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Next, we calculate the cost of 4  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> smartphones by multiplying the cost </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of each smartphone ($400) by the    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> quantity (4).                       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Then, we add the cost of the      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> laptops and smartphones to get the  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> total cost.                         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Finally, we subtract the total    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> cost from the amount of money       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Celine has to determine the change  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> she will receive.                   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 5: Critically review each      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> calculation step.                   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The cost of 2 laptops and 4       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> smartphones is correct.             </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The total cost of $2800 is        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> correct.                            </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - The change of $200 is correct.    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 6: Verify the final answer.    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> - Celine will receive $200 in       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> change after buying two laptops and </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> four smartphones for her children.  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, Celine will get $200 in  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> change if she has $3000 to spend on </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> two laptops and four smartphones.   </span> \n",
       "  Prediction is correct.                Five shirts together cost $85. Of                                          \n",
       "                                        the 5 shirts, there are 3 shirts      Let x be the cost of one of the      \n",
       "                                        that cost $15 each. If the            remaining shirts.                    \n",
       "                                        remaining shirts are each equal in    We know that 3 shirts cost $15       \n",
       "                                        value, what is the cost, in           each, so the total cost of these 3   \n",
       "                                        dollars, of one of the remaining      shirts is 3 x $15 = $45.             \n",
       "                                        shirts?                               Therefore, the cost of the           \n",
       "                                                                              remaining 2 shirts is $85 - $45 =    \n",
       "                                                                              $40.                                 \n",
       "                                                                              Since the remaining shirts are       \n",
       "                                                                              equal in value, we can set up the    \n",
       "                                                                              following equation:                  \n",
       "                                                                              2x = $40                             \n",
       "                                                                              Dividing both sides by 2, we get:    \n",
       "                                                                              x = $20                              \n",
       "                                                                              Therefore, the cost of one of the    \n",
       "                                                                              remaining shirts is $20.             \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Prediction is correct.              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Benny has bought a new piggy bank   </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> and wants to start saving money. In </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To solve this problem, we need to   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> January he adds $19, then adds the  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> first understand the relationships  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> same amount in February. By the end </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> and conditions described. Benny is  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> of March, he has $46. How many      </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> adding the same amount of money to  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> dollars did he add to the piggy     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> his piggy bank in January and       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> bank in March?                      </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> February, and by the end of March,  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> he has a total of $46. We need to   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> determine how much money he added   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> in March.                           </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> To find the solution, we can use    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> the mathematical operation of       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> subtraction. We know that Benny     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> added $19 in January and the same   </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> amount in February, so we can       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> subtract $19 from the total amount  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> in March to find the amount he      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> added in March.                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 1: Set up the equation         </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Let x represent the amount of money </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Benny added in March.               </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $46 - $19 - $19 = x                 </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 2: Simplify the equation       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $46 - $38 = x                       </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Step 3: Solve for x                 </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> $8 = x                              </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Therefore, Benny added $8 to his    </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> piggy bank in March. We can verify  </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> this by adding $8 to the total      </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> amount in February, which would     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> give us $46.                        </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> Final answer: Benny added $8 to his </span> \n",
       " <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                                     </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\"> piggy bank in March.                </span> \n",
       "  Prediction is incorrect. Correct      Janet takes two multivitamins and 3   2 weeks x (2 multivitamins + 3       \n",
       "  answer: \"First find the number of     calcium supplements every day for     calcium supplements per day) = 10    \n",
       "  pills Janet takes every day for the   the first 2 weeks of the month. For   pills per week                       \n",
       "  first 2 weeks: 2 pills/day + 3        the last two weeks of the month,      2 weeks x (1 calcium supplement per  \n",
       "  pills/day = &lt;&lt;2+3=5&gt;&gt;5 pills/day      she runs low on calcium supplements   day) = 2 pills per week              \n",
       "  Then find the number of days in 2     and only takes one per day. How       Total pills = 10 pills per week x 2  \n",
       "  weeks: 2 weeks * 7 days/week =        many pills does Janet take in that    weeks + 2 pills per week x 2 weeks   \n",
       "  &lt;&lt;2*7=14&gt;&gt;14 days                     month?                                = 20 pills + 4 pills = 24 pills      \n",
       "  Then multiply that number by the                                            Janet takes 24 pills in that month.  \n",
       "  number of pills she takes daily to                                                                               \n",
       "  find the total number of pills she                                                                               \n",
       "  takes in the first 2 weeks: 5                                                                                    \n",
       "  pills/day * 14 days = &lt;&lt;5*14=70&gt;&gt;70                                                                              \n",
       "  pills                                                                                                            \n",
       "  Then find the number of pills Janet                                                                              \n",
       "  takes every day for the last 2                                                                                   \n",
       "  weeks: 2 pills/day + 1 pill/day =                                                                                \n",
       "  &lt;&lt;2+1=3&gt;&gt;3 pills/day                                                                                             \n",
       "  Then multiply that number by the                                                                                 \n",
       "  number of days in 2 weeks to find                                                                                \n",
       "  the total number of pills she takes                                                                              \n",
       "  in the last 2 weeks: 3 pills/day *                                                                               \n",
       "  14 days = &lt;&lt;3*14=42&gt;&gt;42 pills                                                                                    \n",
       "  Then add the number of pills she                                                                                 \n",
       "  took in the first and last two                                                                                   \n",
       "  weeks to find the total number of                                                                                \n",
       "  pills she took: 42 pills + 70 pills                                                                              \n",
       "  = &lt;&lt;42+70=112&gt;&gt;112 pills                                                                                         \n",
       "  #### 112\"                                                                                                        \n",
       "                                                                                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "                                                                                                                   \n",
       " \u001b[1;35m \u001b[0m\u001b[1;35manswer__fb                         \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35mquestion                           \u001b[0m\u001b[1;35m \u001b[0m \u001b[1;35m \u001b[0m\u001b[1;35manswer                             \u001b[0m\u001b[1;35m \u001b[0m \n",
       " ───────────────────────────────────────────────────────────────────────────────────────────────────────────────── \n",
       "  Prediction is correct.                Brian can only hold his breath        1. Identify and understand the       \n",
       "                                        underwater for 10 seconds.  He        relationships and conditions:        \n",
       "                                        wants to get better, so he starts     - Brian can hold his breath for 10   \n",
       "                                        practicing.  After a week, he's       seconds.                             \n",
       "                                        doubled the amount of time he can     - After one week of practice, he     \n",
       "                                        do it.  After another week, he's      can hold his breath for 20 seconds.  \n",
       "                                        doubled it again from the previous    - After another week of practice,    \n",
       "                                        week.  The final week, he's           he can hold his breath for 40        \n",
       "                                        increased it by 50% from the          seconds.                             \n",
       "                                        previous week.  How long can Brian    - After the final week of practice,  \n",
       "                                        hold his breath for now?              he can hold his breath for 50%       \n",
       "                                                                              longer than the previous week.       \n",
       "                                                                                                                   \n",
       "                                                                              2. Determine the most appropriate    \n",
       "                                                                              mathematical operations:             \n",
       "                                                                              To find the final amount of time     \n",
       "                                                                              Brian can hold his breath, we will   \n",
       "                                                                              use multiplication and addition.     \n",
       "                                                                                                                   \n",
       "                                                                              3. Execute the calculations:         \n",
       "                                                                              First, we will calculate the amount  \n",
       "                                                                              of time Brian can hold his breath    \n",
       "                                                                              after the final week of practice:    \n",
       "                                                                              40 seconds x 1.5 = 60 seconds        \n",
       "                                                                              This means that after the final      \n",
       "                                                                              week of practice, Brian can hold     \n",
       "                                                                              his breath for 60 seconds.           \n",
       "                                                                                                                   \n",
       "                                                                              Next, we will add this amount to     \n",
       "                                                                              the previous week's time:            \n",
       "                                                                              60 seconds + 40 seconds = 100        \n",
       "                                                                              seconds                              \n",
       "                                                                              This means that after the final      \n",
       "                                                                              week of practice, Brian can hold     \n",
       "                                                                              his breath for 100 seconds.          \n",
       "                                                                                                                   \n",
       "                                                                              4. Verbally detail each step:        \n",
       "                                                                              To find the final amount of time     \n",
       "                                                                              Brian can hold his breath, we first  \n",
       "                                                                              multiplied the previous week's time  \n",
       "                                                                              (40 seconds) by 1.5 to account for   \n",
       "                                                                              the 50% increase. This gave us 60    \n",
       "                                                                              seconds. Then, we added this amount  \n",
       "                                                                              to the previous week's time to get   \n",
       "                                                                              a final result of 100 seconds.       \n",
       "                                                                                                                   \n",
       "                                                                              5. Critically review each            \n",
       "                                                                              calculation step:                    \n",
       "                                                                              The calculations appear to be        \n",
       "                                                                              correct. We multiplied the previous  \n",
       "                                                                              week's time by 1.5 to account for    \n",
       "                                                                              the 50% increase, and then added     \n",
       "                                                                              this amount to the previous week's   \n",
       "                                                                              time to get the final result of 100  \n",
       "                                                                              seconds.                             \n",
       "                                                                                                                   \n",
       "                                                                              6. Verify the final answer:          \n",
       "                                                                              The final answer of 100 seconds      \n",
       "                                                                              aligns with the given information    \n",
       "                                                                              and the calculations appear to be    \n",
       "                                                                              correct. Therefore, we can conclude  \n",
       "                                                                              that after the final week of         \n",
       "                                                                              practice, Brian can hold his breath  \n",
       "                                                                              for 100 seconds.                     \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mA shop sells laptops at $600 each  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mand a smartphone at $400.  Celine  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 1: Identify and understand the\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mbuys two laptops and four          \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mrelationships and conditions       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msmartphones for her children. How  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mdescribed in the problem.          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mmuch change does she get back if   \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Celine is buying two laptops and \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mshe has $3000?                     \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mfour smartphones for her children. \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The laptops cost $600 each and   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe smartphones cost $400 each.    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Celine has $3000 to spend.       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 2: Determine the most         \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mappropriate mathematical operations\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mneeded to find a solution.         \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Celine is buying a total of 2    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mlaptops and 4 smartphones, so we   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mneed to multiply the cost of each  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mitem by the quantity.              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We also need to subtract the     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal cost from the amount of money\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mCeline has to determine the change \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mshe will receive.                  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 3: Execute the calculations   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mwith precision.                    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Cost of 2 laptops = 2 x $600 =   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$1200                              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Cost of 4 smartphones = 4 x $400 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m= $1600                            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Total cost = $1200 + $1600 =     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$2800                              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Change = $3000 - $2800 = $200    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 4: Verbally detail each step  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof your calculation process.       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- We first calculate the cost of 2 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mlaptops by multiplying the cost of \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2meach laptop ($600) by the quantity \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m(2).                               \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Next, we calculate the cost of 4 \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msmartphones by multiplying the cost\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof each smartphone ($400) by the   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mquantity (4).                      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Then, we add the cost of the     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mlaptops and smartphones to get the \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtotal cost.                        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Finally, we subtract the total   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcost from the amount of money      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mCeline has to determine the change \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mshe will receive.                  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 5: Critically review each     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcalculation step.                  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The cost of 2 laptops and 4      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msmartphones is correct.            \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The total cost of $2800 is       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mcorrect.                           \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- The change of $200 is correct.   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 6: Verify the final answer.   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m- Celine will receive $200 in      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mchange after buying two laptops and\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mfour smartphones for her children. \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, Celine will get $200 in \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mchange if she has $3000 to spend on\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mtwo laptops and four smartphones.  \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is correct.                Five shirts together cost $85. Of                                          \n",
       "                                        the 5 shirts, there are 3 shirts      Let x be the cost of one of the      \n",
       "                                        that cost $15 each. If the            remaining shirts.                    \n",
       "                                        remaining shirts are each equal in    We know that 3 shirts cost $15       \n",
       "                                        value, what is the cost, in           each, so the total cost of these 3   \n",
       "                                        dollars, of one of the remaining      shirts is 3 x $15 = $45.             \n",
       "                                        shirts?                               Therefore, the cost of the           \n",
       "                                                                              remaining 2 shirts is $85 - $45 =    \n",
       "                                                                              $40.                                 \n",
       "                                                                              Since the remaining shirts are       \n",
       "                                                                              equal in value, we can set up the    \n",
       "                                                                              following equation:                  \n",
       "                                                                              2x = $40                             \n",
       "                                                                              Dividing both sides by 2, we get:    \n",
       "                                                                              x = $20                              \n",
       "                                                                              Therefore, the cost of one of the    \n",
       "                                                                              remaining shirts is $20.             \n",
       " \u001b[2m \u001b[0m\u001b[2mPrediction is correct.             \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mBenny has bought a new piggy bank  \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mand wants to start saving money. In\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo solve this problem, we need to  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mJanuary he adds $19, then adds the \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mfirst understand the relationships \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msame amount in February. By the end\u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mand conditions described. Benny is \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mof March, he has $46. How many     \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2madding the same amount of money to \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mdollars did he add to the piggy    \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mhis piggy bank in January and      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mbank in March?                     \u001b[0m\u001b[2m \u001b[0m \u001b[2m \u001b[0m\u001b[2mFebruary, and by the end of March, \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mhe has a total of $46. We need to  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mdetermine how much money he added  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2min March.                          \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTo find the solution, we can use   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthe mathematical operation of      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msubtraction. We know that Benny    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2madded $19 in January and the same  \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mamount in February, so we can      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2msubtract $19 from the total amount \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2min March to find the amount he     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2madded in March.                    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 1: Set up the equation        \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mLet x represent the amount of money\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mBenny added in March.              \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$46 - $19 - $19 = x                \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 2: Simplify the equation      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$46 - $38 = x                      \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mStep 3: Solve for x                \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m$8 = x                             \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mTherefore, Benny added $8 to his   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpiggy bank in March. We can verify \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mthis by adding $8 to the total     \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mamount in February, which would    \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mgive us $46.                       \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2m                                   \u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mFinal answer: Benny added $8 to his\u001b[0m\u001b[2m \u001b[0m \n",
       " \u001b[2m                                     \u001b[0m \u001b[2m                                     \u001b[0m \u001b[2m \u001b[0m\u001b[2mpiggy bank in March.               \u001b[0m\u001b[2m \u001b[0m \n",
       "  Prediction is incorrect. Correct      Janet takes two multivitamins and 3   2 weeks x (2 multivitamins + 3       \n",
       "  answer: \"First find the number of     calcium supplements every day for     calcium supplements per day) = 10    \n",
       "  pills Janet takes every day for the   the first 2 weeks of the month. For   pills per week                       \n",
       "  first 2 weeks: 2 pills/day + 3        the last two weeks of the month,      2 weeks x (1 calcium supplement per  \n",
       "  pills/day = <<2+3=5>>5 pills/day      she runs low on calcium supplements   day) = 2 pills per week              \n",
       "  Then find the number of days in 2     and only takes one per day. How       Total pills = 10 pills per week x 2  \n",
       "  weeks: 2 weeks * 7 days/week =        many pills does Janet take in that    weeks + 2 pills per week x 2 weeks   \n",
       "  <<2*7=14>>14 days                     month?                                = 20 pills + 4 pills = 24 pills      \n",
       "  Then multiply that number by the                                            Janet takes 24 pills in that month.  \n",
       "  number of pills she takes daily to                                                                               \n",
       "  find the total number of pills she                                                                               \n",
       "  takes in the first 2 weeks: 5                                                                                    \n",
       "  pills/day * 14 days = <<5*14=70>>70                                                                              \n",
       "  pills                                                                                                            \n",
       "  Then find the number of pills Janet                                                                              \n",
       "  takes every day for the last 2                                                                                   \n",
       "  weeks: 2 pills/day + 1 pill/day =                                                                                \n",
       "  <<2+1=3>>3 pills/day                                                                                             \n",
       "  Then multiply that number by the                                                                                 \n",
       "  number of days in 2 weeks to find                                                                                \n",
       "  the total number of pills she takes                                                                              \n",
       "  in the last 2 weeks: 3 pills/day *                                                                               \n",
       "  14 days = <<3*14=42>>42 pills                                                                                    \n",
       "  Then add the number of pills she                                                                                 \n",
       "  took in the first and last two                                                                                   \n",
       "  weeks to find the total number of                                                                                \n",
       "  pills she took: 42 pills + 70 pills                                                                              \n",
       "  = <<42+70=112>>112 pills                                                                                         \n",
       "  #### 112\"                                                                                                        \n",
       "                                                                                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Output to improve: </span><span style=\"color: #008000; text-decoration-color: #008000\">\"answer\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\"> (</span><span style=\"color: #808000; text-decoration-color: #808000; font-weight: bold\">Skill</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">=</span><span style=\"color: #008000; text-decoration-color: #008000\">\"math_solver\"</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span>\n",
       "<span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">Accuracy = </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">80.00</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">%</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1;31mOutput to improve: \u001b[0m\u001b[32m\"answer\"\u001b[0m\u001b[1;31m \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;33mSkill\u001b[0m\u001b[1;31m=\u001b[0m\u001b[32m\"math_solver\"\u001b[0m\u001b[1;31m)\u001b[0m\n",
       "\u001b[1;31mAccuracy = \u001b[0m\u001b[1;36m80.00\u001b[0m\u001b[1;31m%\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{system}\"</span>:\n",
       "You are a helpful assistant.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32msystem\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "You are a helpful assistant.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model <span style=\"font-weight: bold\">(</span>LLM<span style=\"font-weight: bold\">)</span> to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: <span style=\"font-weight: bold\">{</span>question<span style=\"font-weight: bold\">}</span>\n",
       "<span style=\"font-weight: bold\">{</span>prompt<span style=\"font-weight: bold\">}</span>\n",
       "A: <span style=\"font-weight: bold\">{</span>answer<span style=\"font-weight: bold\">}</span>\n",
       "```\n",
       "\n",
       "Here:\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"Q: {question}\"</span> is input template,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"{prompt}\"</span> is the LLM prompt,\n",
       "- <span style=\"color: #008000; text-decoration-color: #008000\">\"A: {answer}\"</span> is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "Next, you will carefully review your reasoning in step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "A prompt is a text paragraph that outlines the expected actions and instructs the large language model \u001b[1m(\u001b[0mLLM\u001b[1m)\u001b[0m to \n",
       "generate a specific output. This prompt is concatenated with the input text, and the model then creates the \n",
       "required output.\n",
       "This describes the full template how the prompt is concatenated with the input to produce the output:\n",
       "\n",
       "```\n",
       "\n",
       "Q: \u001b[1m{\u001b[0mquestion\u001b[1m}\u001b[0m\n",
       "\u001b[1m{\u001b[0mprompt\u001b[1m}\u001b[0m\n",
       "A: \u001b[1m{\u001b[0manswer\u001b[1m}\u001b[0m\n",
       "```\n",
       "\n",
       "Here:\n",
       "- \u001b[32m\"Q: \u001b[0m\u001b[32m{\u001b[0m\u001b[32mquestion\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is input template,\n",
       "- \u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32mprompt\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the LLM prompt,\n",
       "- \u001b[32m\"A: \u001b[0m\u001b[32m{\u001b[0m\u001b[32manswer\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m is the output template.\n",
       "\n",
       "Model can produce erroneous output if a prompt is not well defined. In our collaboration, we’ll work together to \n",
       "refine a prompt. The process consists of two main steps:\n",
       "\n",
       "## Step \u001b[1;36m1\u001b[0m\n",
       "I will provide you with the current prompt along with prediction examples. Each example contains the input text, \n",
       "the final prediction produced by the model, and the user feedback. User feedback indicates whether the model \n",
       "prediction is correct or not. Your task is to analyze the examples and user feedback, determining whether the \n",
       "existing instruction is describing the task reflected by these examples precisely, and suggests changes to the \n",
       "prompt to address the incorrect predictions.\n",
       "\n",
       "## Step \u001b[1;36m2\u001b[0m\n",
       "Next, you will carefully review your reasoning in step \u001b[1;36m1\u001b[0m, integrate the insights to refine the prompt, and provide \n",
       "me with the new prompt that improves the model’s performance.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "Sure, I’d be happy to help you with this prompt engineering problem. Please provide me with the current prompt and \n",
       "the examples with user feedback.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Carefully identify and understand the relationships and conditions described within the problem, scrutinizing \n",
       "current information as well as any future projections or comparisons.\n",
       "- Determine the most appropriate mathematical operations needed to find a solution, including but not limited to \n",
       "addition, subtraction, multiplication, division, and the application of ratios, percentages, and proportions.\n",
       "- Execute the calculations with precision, systematically confirming that each step aligns with the problem's \n",
       "conditions. Ensure particular accuracy with calculations that involve changes over time, like age or growth rates, \n",
       "or percentage-based changes, which require extra attention to accurately apply increases or decreases.\n",
       "- Verbally detail each step of your calculation process. Clearly articulate the setup of any equations or \n",
       "proportions and the rationale for choosing a particular mathematical approach, to create transparency in the logic \n",
       "behind each step and elucidate the reasoning that leads to your final answer.\n",
       "- Critically review each calculation step, ensuring that partial results of multi-step problems are correct before \n",
       "proceeding to subsequent calculations. Verify the final answer for consistency with the scenario presented and \n",
       "resolve any discrepancies that may arise to conclude with an accurate solution.\n",
       "\n",
       "## Examples\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>\n",
       "\n",
       "Q: Brian can only hold his breath underwater for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> seconds.  He wants to get better, so he starts practicing.  \n",
       "After a week, he's doubled the amount of time he can do it.  After another week, he's doubled it again from the \n",
       "previous week.  The final week, he's increased it by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% from the previous week.  How long can Brian hold his \n",
       "breath for now?\n",
       "\n",
       "A: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. Identify and understand the relationships and conditions:\n",
       "- Brian can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> seconds.\n",
       "- After one week of practice, he can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> seconds.\n",
       "- After another week of practice, he can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> seconds.\n",
       "- After the final week of practice, he can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% longer than the previous week.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. Determine the most appropriate mathematical operations:\n",
       "To find the final amount of time Brian can hold his breath, we will use multiplication and addition.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. Execute the calculations:\n",
       "First, we will calculate the amount of time Brian can hold his breath after the final week of practice:\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> seconds x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.5</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span> seconds\n",
       "This means that after the final week of practice, Brian can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span> seconds.\n",
       "\n",
       "Next, we will add this amount to the previous week's time:\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span> seconds + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> seconds = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> seconds\n",
       "This means that after the final week of practice, Brian can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> seconds.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>. Verbally detail each step:\n",
       "To find the final amount of time Brian can hold his breath, we first multiplied the previous week's time <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span> \n",
       "seconds<span style=\"font-weight: bold\">)</span> by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.5</span> to account for the <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% increase. This gave us <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span> seconds. Then, we added this amount to the \n",
       "previous week's time to get a final result of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> seconds.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>. Critically review each calculation step:\n",
       "The calculations appear to be correct. We multiplied the previous week's time by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.5</span> to account for the <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>% \n",
       "increase, and then added this amount to the previous week's time to get the final result of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> seconds.\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span>. Verify the final answer:\n",
       "The final answer of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> seconds aligns with the given information and the calculations appear to be correct. \n",
       "Therefore, we can conclude that after the final week of practice, Brian can hold his breath for <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">100</span> seconds.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>\n",
       "\n",
       "Q: A shop sells laptops at $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">600</span> each and a smartphone at $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">400</span>.  Celine buys two laptops and four smartphones for \n",
       "her children. How much change does she get back if she has $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3000</span>?\n",
       "\n",
       "A: \n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Identify and understand the relationships and conditions described in the problem.\n",
       "- Celine is buying two laptops and four smartphones for her children.\n",
       "- The laptops cost $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">600</span> each and the smartphones cost $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">400</span> each.\n",
       "- Celine has $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3000</span> to spend.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Determine the most appropriate mathematical operations needed to find a solution.\n",
       "- Celine is buying a total of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> laptops and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> smartphones, so we need to multiply the cost of each item by the \n",
       "quantity.\n",
       "- We also need to subtract the total cost from the amount of money Celine has to determine the change she will \n",
       "receive.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Execute the calculations with precision.\n",
       "- Cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> laptops = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">600</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1200</span>\n",
       "- Cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> smartphones = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">400</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1600</span>\n",
       "- Total cost = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1200</span> + $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1600</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2800</span>\n",
       "- Change = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3000</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2800</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span>\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: Verbally detail each step of your calculation process.\n",
       "- We first calculate the cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> laptops by multiplying the cost of each laptop <span style=\"font-weight: bold\">(</span>$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">600</span><span style=\"font-weight: bold\">)</span> by the quantity <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"font-weight: bold\">)</span>.\n",
       "- Next, we calculate the cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> smartphones by multiplying the cost of each smartphone <span style=\"font-weight: bold\">(</span>$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">400</span><span style=\"font-weight: bold\">)</span> by the quantity \n",
       "<span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span><span style=\"font-weight: bold\">)</span>.\n",
       "- Then, we add the cost of the laptops and smartphones to get the total cost.\n",
       "- Finally, we subtract the total cost from the amount of money Celine has to determine the change she will receive.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>: Critically review each calculation step.\n",
       "- The cost of <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> laptops and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> smartphones is correct.\n",
       "- The total cost of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2800</span> is correct.\n",
       "- The change of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> is correct.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span>: Verify the final answer.\n",
       "- Celine will receive $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> in change after buying two laptops and four smartphones for her children.\n",
       "\n",
       "Therefore, Celine will get $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">200</span> in change if she has $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3000</span> to spend on two laptops and four smartphones.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>\n",
       "\n",
       "Q: Five shirts together cost $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">85</span>. Of the <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> shirts, there are <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> shirts that cost $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span> each. If the remaining shirts \n",
       "are each equal in value, what is the cost, in dollars, of one of the remaining shirts?\n",
       "\n",
       "A: \n",
       "Let x be the cost of one of the remaining shirts.\n",
       "We know that <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> shirts cost $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span> each, so the total cost of these <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> shirts is <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> x $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">15</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">45</span>.\n",
       "Therefore, the cost of the remaining <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> shirts is $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">85</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">45</span> = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>.\n",
       "Since the remaining shirts are equal in value, we can set up the following equation:\n",
       "2x = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">40</span>\n",
       "Dividing both sides by <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>, we get:\n",
       "x = $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>\n",
       "Therefore, the cost of one of the remaining shirts is $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>\n",
       "\n",
       "Q: Benny has bought a new piggy bank and wants to start saving money. In January he adds $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">19</span>, then adds the same \n",
       "amount in February. By the end of March, he has $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">46</span>. How many dollars did he add to the piggy bank in March?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to first understand the relationships and conditions described. Benny is adding the \n",
       "same amount of money to his piggy bank in January and February, and by the end of March, he has a total of $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">46</span>. We \n",
       "need to determine how much money he added in March.\n",
       "\n",
       "To find the solution, we can use the mathematical operation of subtraction. We know that Benny added $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">19</span> in January\n",
       "and the same amount in February, so we can subtract $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">19</span> from the total amount in March to find the amount he added \n",
       "in March.\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>: Set up the equation\n",
       "Let x represent the amount of money Benny added in March.\n",
       "$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">46</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">19</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">19</span> = x\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: Simplify the equation\n",
       "$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">46</span> - $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">38</span> = x\n",
       "\n",
       "Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>: Solve for x\n",
       "$<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> = x\n",
       "\n",
       "Therefore, Benny added $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> to his piggy bank in March. We can verify this by adding $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> to the total amount in \n",
       "February, which would give us $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">46</span>.\n",
       "\n",
       "Final answer: Benny added $<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> to his piggy bank in March.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>\n",
       "\n",
       "Q: Janet takes two multivitamins and <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> calcium supplements every day for the first <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> weeks of the month. For the \n",
       "last two weeks of the month, she runs low on calcium supplements and only takes one per day. How many pills does \n",
       "Janet take in that month?\n",
       "\n",
       "A: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> weeks x <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> multivitamins + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> calcium supplements per day<span style=\"font-weight: bold\">)</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> pills per week\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> weeks x <span style=\"font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> calcium supplement per day<span style=\"font-weight: bold\">)</span> = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> pills per week\n",
       "Total pills = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> pills per week x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> weeks + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> pills per week x <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> weeks = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span> pills + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> pills = <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> pills\n",
       "Janet takes <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</span> pills in that month.\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"First find the number of pills Janet takes every day for \n",
       "the first <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> weeks: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> pills/day + <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span> pills/day = <span style=\"font-weight: bold\">&lt;</span><span style=\"color: #000000; text-decoration-color: #000000\">&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills/day</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Then find the number of days in </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> weeks: </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> weeks * </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"color: #000000; text-decoration-color: #000000\"> days/week = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\">*</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span><span style=\"color: #000000; text-decoration-color: #000000\"> days</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Then multiply that number by the number of pills she takes daily to find the total number of pills she takes in the</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">first </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> weeks: </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills/day * </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span><span style=\"color: #000000; text-decoration-color: #000000\"> days = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span><span style=\"color: #000000; text-decoration-color: #000000\">*</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Then find the number of pills Janet takes every day for the last </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> weeks: </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills/day + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #000000; text-decoration-color: #000000\"> pill/day = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\"> </span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">pills/day</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Then multiply that number by the number of days in </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> weeks to find the total number of pills she takes in the last </span>\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> weeks: </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills/day * </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span><span style=\"color: #000000; text-decoration-color: #000000\"> days = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #000000; text-decoration-color: #000000\">*</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills</span>\n",
       "<span style=\"color: #000000; text-decoration-color: #000000\">Then add the number of pills she took in the first and last two weeks to find the total number of pills she took: </span>\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills + </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\"> pills = &lt;&lt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">42</span><span style=\"color: #000000; text-decoration-color: #000000\">+</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">70</span><span style=\"color: #000000; text-decoration-color: #000000\">=</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">112</span><span style=\"color: #000000; text-decoration-color: #000000\">&gt;</span><span style=\"font-weight: bold\">&gt;</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">112</span> pills\n",
       "#### <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">112</span>\"\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Carefully identify and understand the relationships and conditions described within the problem, scrutinizing \n",
       "current information as well as any future projections or comparisons.\n",
       "- Determine the most appropriate mathematical operations needed to find a solution, including but not limited to \n",
       "addition, subtraction, multiplication, division, and the application of ratios, percentages, and proportions.\n",
       "- Execute the calculations with precision, systematically confirming that each step aligns with the problem's \n",
       "conditions. Ensure particular accuracy with calculations that involve changes over time, like age or growth rates, \n",
       "or percentage-based changes, which require extra attention to accurately apply increases or decreases.\n",
       "- Verbally detail each step of your calculation process. Clearly articulate the setup of any equations or \n",
       "proportions and the rationale for choosing a particular mathematical approach, to create transparency in the logic \n",
       "behind each step and elucidate the reasoning that leads to your final answer.\n",
       "- Critically review each calculation step, ensuring that partial results of multi-step problems are correct before \n",
       "proceeding to subsequent calculations. Verify the final answer for consistency with the scenario presented and \n",
       "resolve any discrepancies that may arise to conclude with an accurate solution.\n",
       "\n",
       "## Examples\n",
       "### Example #\u001b[1;36m0\u001b[0m\n",
       "\n",
       "Q: Brian can only hold his breath underwater for \u001b[1;36m10\u001b[0m seconds.  He wants to get better, so he starts practicing.  \n",
       "After a week, he's doubled the amount of time he can do it.  After another week, he's doubled it again from the \n",
       "previous week.  The final week, he's increased it by \u001b[1;36m50\u001b[0m% from the previous week.  How long can Brian hold his \n",
       "breath for now?\n",
       "\n",
       "A: \u001b[1;36m1\u001b[0m. Identify and understand the relationships and conditions:\n",
       "- Brian can hold his breath for \u001b[1;36m10\u001b[0m seconds.\n",
       "- After one week of practice, he can hold his breath for \u001b[1;36m20\u001b[0m seconds.\n",
       "- After another week of practice, he can hold his breath for \u001b[1;36m40\u001b[0m seconds.\n",
       "- After the final week of practice, he can hold his breath for \u001b[1;36m50\u001b[0m% longer than the previous week.\n",
       "\n",
       "\u001b[1;36m2\u001b[0m. Determine the most appropriate mathematical operations:\n",
       "To find the final amount of time Brian can hold his breath, we will use multiplication and addition.\n",
       "\n",
       "\u001b[1;36m3\u001b[0m. Execute the calculations:\n",
       "First, we will calculate the amount of time Brian can hold his breath after the final week of practice:\n",
       "\u001b[1;36m40\u001b[0m seconds x \u001b[1;36m1.5\u001b[0m = \u001b[1;36m60\u001b[0m seconds\n",
       "This means that after the final week of practice, Brian can hold his breath for \u001b[1;36m60\u001b[0m seconds.\n",
       "\n",
       "Next, we will add this amount to the previous week's time:\n",
       "\u001b[1;36m60\u001b[0m seconds + \u001b[1;36m40\u001b[0m seconds = \u001b[1;36m100\u001b[0m seconds\n",
       "This means that after the final week of practice, Brian can hold his breath for \u001b[1;36m100\u001b[0m seconds.\n",
       "\n",
       "\u001b[1;36m4\u001b[0m. Verbally detail each step:\n",
       "To find the final amount of time Brian can hold his breath, we first multiplied the previous week's time \u001b[1m(\u001b[0m\u001b[1;36m40\u001b[0m \n",
       "seconds\u001b[1m)\u001b[0m by \u001b[1;36m1.5\u001b[0m to account for the \u001b[1;36m50\u001b[0m% increase. This gave us \u001b[1;36m60\u001b[0m seconds. Then, we added this amount to the \n",
       "previous week's time to get a final result of \u001b[1;36m100\u001b[0m seconds.\n",
       "\n",
       "\u001b[1;36m5\u001b[0m. Critically review each calculation step:\n",
       "The calculations appear to be correct. We multiplied the previous week's time by \u001b[1;36m1.5\u001b[0m to account for the \u001b[1;36m50\u001b[0m% \n",
       "increase, and then added this amount to the previous week's time to get the final result of \u001b[1;36m100\u001b[0m seconds.\n",
       "\n",
       "\u001b[1;36m6\u001b[0m. Verify the final answer:\n",
       "The final answer of \u001b[1;36m100\u001b[0m seconds aligns with the given information and the calculations appear to be correct. \n",
       "Therefore, we can conclude that after the final week of practice, Brian can hold his breath for \u001b[1;36m100\u001b[0m seconds.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m1\u001b[0m\n",
       "\n",
       "Q: A shop sells laptops at $\u001b[1;36m600\u001b[0m each and a smartphone at $\u001b[1;36m400\u001b[0m.  Celine buys two laptops and four smartphones for \n",
       "her children. How much change does she get back if she has $\u001b[1;36m3000\u001b[0m?\n",
       "\n",
       "A: \n",
       "Step \u001b[1;36m1\u001b[0m: Identify and understand the relationships and conditions described in the problem.\n",
       "- Celine is buying two laptops and four smartphones for her children.\n",
       "- The laptops cost $\u001b[1;36m600\u001b[0m each and the smartphones cost $\u001b[1;36m400\u001b[0m each.\n",
       "- Celine has $\u001b[1;36m3000\u001b[0m to spend.\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Determine the most appropriate mathematical operations needed to find a solution.\n",
       "- Celine is buying a total of \u001b[1;36m2\u001b[0m laptops and \u001b[1;36m4\u001b[0m smartphones, so we need to multiply the cost of each item by the \n",
       "quantity.\n",
       "- We also need to subtract the total cost from the amount of money Celine has to determine the change she will \n",
       "receive.\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Execute the calculations with precision.\n",
       "- Cost of \u001b[1;36m2\u001b[0m laptops = \u001b[1;36m2\u001b[0m x $\u001b[1;36m600\u001b[0m = $\u001b[1;36m1200\u001b[0m\n",
       "- Cost of \u001b[1;36m4\u001b[0m smartphones = \u001b[1;36m4\u001b[0m x $\u001b[1;36m400\u001b[0m = $\u001b[1;36m1600\u001b[0m\n",
       "- Total cost = $\u001b[1;36m1200\u001b[0m + $\u001b[1;36m1600\u001b[0m = $\u001b[1;36m2800\u001b[0m\n",
       "- Change = $\u001b[1;36m3000\u001b[0m - $\u001b[1;36m2800\u001b[0m = $\u001b[1;36m200\u001b[0m\n",
       "\n",
       "Step \u001b[1;36m4\u001b[0m: Verbally detail each step of your calculation process.\n",
       "- We first calculate the cost of \u001b[1;36m2\u001b[0m laptops by multiplying the cost of each laptop \u001b[1m(\u001b[0m$\u001b[1;36m600\u001b[0m\u001b[1m)\u001b[0m by the quantity \u001b[1m(\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1m)\u001b[0m.\n",
       "- Next, we calculate the cost of \u001b[1;36m4\u001b[0m smartphones by multiplying the cost of each smartphone \u001b[1m(\u001b[0m$\u001b[1;36m400\u001b[0m\u001b[1m)\u001b[0m by the quantity \n",
       "\u001b[1m(\u001b[0m\u001b[1;36m4\u001b[0m\u001b[1m)\u001b[0m.\n",
       "- Then, we add the cost of the laptops and smartphones to get the total cost.\n",
       "- Finally, we subtract the total cost from the amount of money Celine has to determine the change she will receive.\n",
       "\n",
       "Step \u001b[1;36m5\u001b[0m: Critically review each calculation step.\n",
       "- The cost of \u001b[1;36m2\u001b[0m laptops and \u001b[1;36m4\u001b[0m smartphones is correct.\n",
       "- The total cost of $\u001b[1;36m2800\u001b[0m is correct.\n",
       "- The change of $\u001b[1;36m200\u001b[0m is correct.\n",
       "\n",
       "Step \u001b[1;36m6\u001b[0m: Verify the final answer.\n",
       "- Celine will receive $\u001b[1;36m200\u001b[0m in change after buying two laptops and four smartphones for her children.\n",
       "\n",
       "Therefore, Celine will get $\u001b[1;36m200\u001b[0m in change if she has $\u001b[1;36m3000\u001b[0m to spend on two laptops and four smartphones.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m2\u001b[0m\n",
       "\n",
       "Q: Five shirts together cost $\u001b[1;36m85\u001b[0m. Of the \u001b[1;36m5\u001b[0m shirts, there are \u001b[1;36m3\u001b[0m shirts that cost $\u001b[1;36m15\u001b[0m each. If the remaining shirts \n",
       "are each equal in value, what is the cost, in dollars, of one of the remaining shirts?\n",
       "\n",
       "A: \n",
       "Let x be the cost of one of the remaining shirts.\n",
       "We know that \u001b[1;36m3\u001b[0m shirts cost $\u001b[1;36m15\u001b[0m each, so the total cost of these \u001b[1;36m3\u001b[0m shirts is \u001b[1;36m3\u001b[0m x $\u001b[1;36m15\u001b[0m = $\u001b[1;36m45\u001b[0m.\n",
       "Therefore, the cost of the remaining \u001b[1;36m2\u001b[0m shirts is $\u001b[1;36m85\u001b[0m - $\u001b[1;36m45\u001b[0m = $\u001b[1;36m40\u001b[0m.\n",
       "Since the remaining shirts are equal in value, we can set up the following equation:\n",
       "2x = $\u001b[1;36m40\u001b[0m\n",
       "Dividing both sides by \u001b[1;36m2\u001b[0m, we get:\n",
       "x = $\u001b[1;36m20\u001b[0m\n",
       "Therefore, the cost of one of the remaining shirts is $\u001b[1;36m20\u001b[0m.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m3\u001b[0m\n",
       "\n",
       "Q: Benny has bought a new piggy bank and wants to start saving money. In January he adds $\u001b[1;36m19\u001b[0m, then adds the same \n",
       "amount in February. By the end of March, he has $\u001b[1;36m46\u001b[0m. How many dollars did he add to the piggy bank in March?\n",
       "\n",
       "A: \n",
       "To solve this problem, we need to first understand the relationships and conditions described. Benny is adding the \n",
       "same amount of money to his piggy bank in January and February, and by the end of March, he has a total of $\u001b[1;36m46\u001b[0m. We \n",
       "need to determine how much money he added in March.\n",
       "\n",
       "To find the solution, we can use the mathematical operation of subtraction. We know that Benny added $\u001b[1;36m19\u001b[0m in January\n",
       "and the same amount in February, so we can subtract $\u001b[1;36m19\u001b[0m from the total amount in March to find the amount he added \n",
       "in March.\n",
       "\n",
       "Step \u001b[1;36m1\u001b[0m: Set up the equation\n",
       "Let x represent the amount of money Benny added in March.\n",
       "$\u001b[1;36m46\u001b[0m - $\u001b[1;36m19\u001b[0m - $\u001b[1;36m19\u001b[0m = x\n",
       "\n",
       "Step \u001b[1;36m2\u001b[0m: Simplify the equation\n",
       "$\u001b[1;36m46\u001b[0m - $\u001b[1;36m38\u001b[0m = x\n",
       "\n",
       "Step \u001b[1;36m3\u001b[0m: Solve for x\n",
       "$\u001b[1;36m8\u001b[0m = x\n",
       "\n",
       "Therefore, Benny added $\u001b[1;36m8\u001b[0m to his piggy bank in March. We can verify this by adding $\u001b[1;36m8\u001b[0m to the total amount in \n",
       "February, which would give us $\u001b[1;36m46\u001b[0m.\n",
       "\n",
       "Final answer: Benny added $\u001b[1;36m8\u001b[0m to his piggy bank in March.\n",
       "\n",
       "User feedback: Prediction is correct.\n",
       "\n",
       "\n",
       "### Example #\u001b[1;36m4\u001b[0m\n",
       "\n",
       "Q: Janet takes two multivitamins and \u001b[1;36m3\u001b[0m calcium supplements every day for the first \u001b[1;36m2\u001b[0m weeks of the month. For the \n",
       "last two weeks of the month, she runs low on calcium supplements and only takes one per day. How many pills does \n",
       "Janet take in that month?\n",
       "\n",
       "A: \u001b[1;36m2\u001b[0m weeks x \u001b[1m(\u001b[0m\u001b[1;36m2\u001b[0m multivitamins + \u001b[1;36m3\u001b[0m calcium supplements per day\u001b[1m)\u001b[0m = \u001b[1;36m10\u001b[0m pills per week\n",
       "\u001b[1;36m2\u001b[0m weeks x \u001b[1m(\u001b[0m\u001b[1;36m1\u001b[0m calcium supplement per day\u001b[1m)\u001b[0m = \u001b[1;36m2\u001b[0m pills per week\n",
       "Total pills = \u001b[1;36m10\u001b[0m pills per week x \u001b[1;36m2\u001b[0m weeks + \u001b[1;36m2\u001b[0m pills per week x \u001b[1;36m2\u001b[0m weeks = \u001b[1;36m20\u001b[0m pills + \u001b[1;36m4\u001b[0m pills = \u001b[1;36m24\u001b[0m pills\n",
       "Janet takes \u001b[1;36m24\u001b[0m pills in that month.\n",
       "\n",
       "User feedback: Prediction is incorrect. Correct answer: \"First find the number of pills Janet takes every day for \n",
       "the first \u001b[1;36m2\u001b[0m weeks: \u001b[1;36m2\u001b[0m pills/day + \u001b[1;36m3\u001b[0m pills/day = \u001b[1m<\u001b[0m\u001b[39m<\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m5\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m5\u001b[0m\u001b[39m pills/day\u001b[0m\n",
       "\u001b[39mThen find the number of days in \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m weeks: \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m weeks * \u001b[0m\u001b[1;36m7\u001b[0m\u001b[39m days/week = <<\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m*\u001b[0m\u001b[1;36m7\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m14\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m14\u001b[0m\u001b[39m days\u001b[0m\n",
       "\u001b[39mThen multiply that number by the number of pills she takes daily to find the total number of pills she takes in the\u001b[0m\n",
       "\u001b[39mfirst \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m weeks: \u001b[0m\u001b[1;36m5\u001b[0m\u001b[39m pills/day * \u001b[0m\u001b[1;36m14\u001b[0m\u001b[39m days = <<\u001b[0m\u001b[1;36m5\u001b[0m\u001b[39m*\u001b[0m\u001b[1;36m14\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m pills\u001b[0m\n",
       "\u001b[39mThen find the number of pills Janet takes every day for the last \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m weeks: \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m pills/day + \u001b[0m\u001b[1;36m1\u001b[0m\u001b[39m pill/day = <<\u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m1\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m \u001b[0m\n",
       "\u001b[39mpills/day\u001b[0m\n",
       "\u001b[39mThen multiply that number by the number of days in \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m weeks to find the total number of pills she takes in the last \u001b[0m\n",
       "\u001b[1;36m2\u001b[0m\u001b[39m weeks: \u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m pills/day * \u001b[0m\u001b[1;36m14\u001b[0m\u001b[39m days = <<\u001b[0m\u001b[1;36m3\u001b[0m\u001b[39m*\u001b[0m\u001b[1;36m14\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m42\u001b[0m\u001b[39m>>\u001b[0m\u001b[1;36m42\u001b[0m\u001b[39m pills\u001b[0m\n",
       "\u001b[39mThen add the number of pills she took in the first and last two weeks to find the total number of pills she took: \u001b[0m\n",
       "\u001b[1;36m42\u001b[0m\u001b[39m pills + \u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m pills = <<\u001b[0m\u001b[1;36m42\u001b[0m\u001b[39m+\u001b[0m\u001b[1;36m70\u001b[0m\u001b[39m=\u001b[0m\u001b[1;36m112\u001b[0m\u001b[39m>\u001b[0m\u001b[1m>\u001b[0m\u001b[1;36m112\u001b[0m pills\n",
       "#### \u001b[1;36m112\u001b[0m\"\n",
       "\n",
       "\n",
       "\n",
       "Summarize your analysis about incorrect predictions and suggest changes to the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{assistant}\"</span>:\n",
       "## Analysis of Incorrect Predictions\n",
       "\n",
       "### Current Prompt Analysis\n",
       "The instructions in the current prompt effectively guide the model to follow a systematic approach to solving \n",
       "arithmetic word problems, including understanding the conditions, determining the operations, executing \n",
       "calculations, detailing each step, reviewing calculations, and verifying the final answer. This thorough approach \n",
       "is appropriate for ensuring accuracy and clarity in the model's explanations.\n",
       "\n",
       "### Breakdown of Incorrect Predictions\n",
       "In reviewing Example #<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>, it is clear that the model failed to correctly calculate the total number of pills taken \n",
       "in a month. The model's failure appears to be due to a misunderstanding of the calculations needed, specifically \n",
       "when determining the number of pills taken each week.\n",
       "\n",
       "The model erred in its initial calculation by stating <span style=\"color: #008000; text-decoration-color: #008000\">\"2 weeks x (2 multivitamins + 3 calcium supplements per day) </span>\n",
       "<span style=\"color: #008000; text-decoration-color: #008000\">= 10 pills per week\"</span> when it should have calculated the daily intake and then multiplied by the number of days in \n",
       "the two weeks. This indicates an oversight in the comprehension of the problem structure, as well as a failure in \n",
       "properly executing multi-step calculations.\n",
       "\n",
       "### Suggested Changes to the Prompt\n",
       "To mitigate this kind of error and improve the model's performance, the following changes could be made to the \n",
       "prompt:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. Emphasize the importance of determining the correct units and quantities to be used in calculations. Ensure that\n",
       "daily, weekly, and monthly quantities are accurately established before computations.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. Strengthen guidance on multi-step calculations, underscoring the importance of maintaining consistency in units \n",
       "throughout these steps <span style=\"font-weight: bold\">(</span>e.g., daily doses multiplied by the number of days, rather than multiplying weekly totals<span style=\"font-weight: bold\">)</span>.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. Incorporate a step for the model to rephrase the problem or put it into a simpler form, which could help clarify\n",
       "the structure of the problem and prevent misunderstandings.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>. Include an instruction for the model to explicitly confirm and state the time frame <span style=\"font-weight: bold\">(</span>e.g., daily, weekly, \n",
       "monthly<span style=\"font-weight: bold\">)</span> of each calculation after setting up the problem but before solving it.\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span>. Add a checkpoint to reassess the logical flow from one step to the next, to ensure that the sequence of \n",
       "operations is correct and that no steps have been skipped or incorrectly summarized.\n",
       "\n",
       "## Revised Prompt\n",
       "With these suggestions in mind, here is a revised version of the prompt for arithmetic word problems:\n",
       "\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Methodically identify and understand the relationships and conditions within the problem, reformulating or \n",
       "simplifying the scenario if necessary to grasp the key elements and structure.\n",
       "- Confirm and state the units of measurement <span style=\"font-weight: bold\">(</span>e.g., daily, weekly, monthly quantities<span style=\"font-weight: bold\">)</span> to establish a clear \n",
       "foundation for calculations after understanding the problem but before proceeding with mathematical operations.\n",
       "- Determine the most fitting mathematical operations to resolve the question, being particularly vigilant with the \n",
       "calculations when dealing with changes over different time frames or scales <span style=\"font-weight: bold\">(</span>daily, weekly, monthly<span style=\"font-weight: bold\">)</span>.\n",
       "- Execute the calculations with meticulous accuracy, illustrating each step to create transparency in the \n",
       "problem-solving process.\n",
       "- Verbally detail and demonstrate fully each step of your calculation method, providing explicit rationales for \n",
       "your choices throughout.\n",
       "- Conduct a thorough review after each calculation, ensuring that interim results are logical and in the correct \n",
       "units before advancing to the next operations.\n",
       "- Re-examine the entire solution path before finalizing your answer, to ensure that it is sensible and consistent \n",
       "with the problem's parameters and that it provides the resolution sought.\n",
       "- Verify the final answer against the problem to confirm its accuracy, adjusting the solution if discrepancies are \n",
       "encountered, and state your final answer clearly, complete with the correct units of measurement.\n",
       "\n",
       "By implementing these changes, we aim to enhance the accuracy and reliability of the model's output in solving \n",
       "arithmetic word problems.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32massistant\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "## Analysis of Incorrect Predictions\n",
       "\n",
       "### Current Prompt Analysis\n",
       "The instructions in the current prompt effectively guide the model to follow a systematic approach to solving \n",
       "arithmetic word problems, including understanding the conditions, determining the operations, executing \n",
       "calculations, detailing each step, reviewing calculations, and verifying the final answer. This thorough approach \n",
       "is appropriate for ensuring accuracy and clarity in the model's explanations.\n",
       "\n",
       "### Breakdown of Incorrect Predictions\n",
       "In reviewing Example #\u001b[1;36m4\u001b[0m, it is clear that the model failed to correctly calculate the total number of pills taken \n",
       "in a month. The model's failure appears to be due to a misunderstanding of the calculations needed, specifically \n",
       "when determining the number of pills taken each week.\n",
       "\n",
       "The model erred in its initial calculation by stating \u001b[32m\"2 weeks x \u001b[0m\u001b[32m(\u001b[0m\u001b[32m2 multivitamins + 3 calcium supplements per day\u001b[0m\u001b[32m)\u001b[0m\u001b[32m \u001b[0m\n",
       "\u001b[32m= 10 pills per week\"\u001b[0m when it should have calculated the daily intake and then multiplied by the number of days in \n",
       "the two weeks. This indicates an oversight in the comprehension of the problem structure, as well as a failure in \n",
       "properly executing multi-step calculations.\n",
       "\n",
       "### Suggested Changes to the Prompt\n",
       "To mitigate this kind of error and improve the model's performance, the following changes could be made to the \n",
       "prompt:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. Emphasize the importance of determining the correct units and quantities to be used in calculations. Ensure that\n",
       "daily, weekly, and monthly quantities are accurately established before computations.\n",
       "\u001b[1;36m2\u001b[0m. Strengthen guidance on multi-step calculations, underscoring the importance of maintaining consistency in units \n",
       "throughout these steps \u001b[1m(\u001b[0me.g., daily doses multiplied by the number of days, rather than multiplying weekly totals\u001b[1m)\u001b[0m.\n",
       "\u001b[1;36m3\u001b[0m. Incorporate a step for the model to rephrase the problem or put it into a simpler form, which could help clarify\n",
       "the structure of the problem and prevent misunderstandings.\n",
       "\u001b[1;36m4\u001b[0m. Include an instruction for the model to explicitly confirm and state the time frame \u001b[1m(\u001b[0me.g., daily, weekly, \n",
       "monthly\u001b[1m)\u001b[0m of each calculation after setting up the problem but before solving it.\n",
       "\u001b[1;36m5\u001b[0m. Add a checkpoint to reassess the logical flow from one step to the next, to ensure that the sequence of \n",
       "operations is correct and that no steps have been skipped or incorrectly summarized.\n",
       "\n",
       "## Revised Prompt\n",
       "With these suggestions in mind, here is a revised version of the prompt for arithmetic word problems:\n",
       "\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Methodically identify and understand the relationships and conditions within the problem, reformulating or \n",
       "simplifying the scenario if necessary to grasp the key elements and structure.\n",
       "- Confirm and state the units of measurement \u001b[1m(\u001b[0me.g., daily, weekly, monthly quantities\u001b[1m)\u001b[0m to establish a clear \n",
       "foundation for calculations after understanding the problem but before proceeding with mathematical operations.\n",
       "- Determine the most fitting mathematical operations to resolve the question, being particularly vigilant with the \n",
       "calculations when dealing with changes over different time frames or scales \u001b[1m(\u001b[0mdaily, weekly, monthly\u001b[1m)\u001b[0m.\n",
       "- Execute the calculations with meticulous accuracy, illustrating each step to create transparency in the \n",
       "problem-solving process.\n",
       "- Verbally detail and demonstrate fully each step of your calculation method, providing explicit rationales for \n",
       "your choices throughout.\n",
       "- Conduct a thorough review after each calculation, ensuring that interim results are logical and in the correct \n",
       "units before advancing to the next operations.\n",
       "- Re-examine the entire solution path before finalizing your answer, to ensure that it is sensible and consistent \n",
       "with the problem's parameters and that it provides the resolution sought.\n",
       "- Verify the final answer against the problem to confirm its accuracy, adjusting the solution if discrepancies are \n",
       "encountered, and state your final answer clearly, complete with the correct units of measurement.\n",
       "\n",
       "By implementing these changes, we aim to enhance the accuracy and reliability of the model's output in solving \n",
       "arithmetic word problems.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #008000; text-decoration-color: #008000\">\"{user}\"</span>:\n",
       "\n",
       "Now please carefully review your reasoning in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> and help with Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Carefully identify and understand the relationships and conditions described within the problem, scrutinizing \n",
       "current information as well as any future projections or comparisons.\n",
       "- Determine the most appropriate mathematical operations needed to find a solution, including but not limited to \n",
       "addition, subtraction, multiplication, division, and the application of ratios, percentages, and proportions.\n",
       "- Execute the calculations with precision, systematically confirming that each step aligns with the problem's \n",
       "conditions. Ensure particular accuracy with calculations that involve changes over time, like age or growth rates, \n",
       "or percentage-based changes, which require extra attention to accurately apply increases or decreases.\n",
       "- Verbally detail each step of your calculation process. Clearly articulate the setup of any equations or \n",
       "proportions and the rationale for choosing a particular mathematical approach, to create transparency in the logic \n",
       "behind each step and elucidate the reasoning that leads to your final answer.\n",
       "- Critically review each calculation step, ensuring that partial results of multi-step problems are correct before \n",
       "proceeding to subsequent calculations. Verify the final answer for consistency with the scenario presented and \n",
       "resolve any discrepancies that may arise to conclude with an accurate solution.\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>.\n",
       "    Example:\n",
       "    - Current prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text.\"</span>\n",
       "    - New prompt: <span style=\"color: #008000; text-decoration-color: #008000\">\"The model should generate a summary of the input text. Pay attention to the original style.\"</span>\n",
       "        \n",
       "<span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span>. Reply only with the new prompt. Do not include input and output templates in the prompt.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[32m\"\u001b[0m\u001b[32m{\u001b[0m\u001b[32muser\u001b[0m\u001b[32m}\u001b[0m\u001b[32m\"\u001b[0m:\n",
       "\n",
       "Now please carefully review your reasoning in Step \u001b[1;36m1\u001b[0m and help with Step \u001b[1;36m2\u001b[0m: refining the prompt.\n",
       "\n",
       "## Current prompt\n",
       "For each arithmetic word problem provided, you are to:\n",
       "- Carefully identify and understand the relationships and conditions described within the problem, scrutinizing \n",
       "current information as well as any future projections or comparisons.\n",
       "- Determine the most appropriate mathematical operations needed to find a solution, including but not limited to \n",
       "addition, subtraction, multiplication, division, and the application of ratios, percentages, and proportions.\n",
       "- Execute the calculations with precision, systematically confirming that each step aligns with the problem's \n",
       "conditions. Ensure particular accuracy with calculations that involve changes over time, like age or growth rates, \n",
       "or percentage-based changes, which require extra attention to accurately apply increases or decreases.\n",
       "- Verbally detail each step of your calculation process. Clearly articulate the setup of any equations or \n",
       "proportions and the rationale for choosing a particular mathematical approach, to create transparency in the logic \n",
       "behind each step and elucidate the reasoning that leads to your final answer.\n",
       "- Critically review each calculation step, ensuring that partial results of multi-step problems are correct before \n",
       "proceeding to subsequent calculations. Verify the final answer for consistency with the scenario presented and \n",
       "resolve any discrepancies that may arise to conclude with an accurate solution.\n",
       "\n",
       "## Follow this guidance to refine the prompt:\n",
       "\n",
       "\u001b[1;36m1\u001b[0m. The new prompt should should describe the task precisely, and address the points raised in the user feedback.\n",
       "    \n",
       "\u001b[1;36m2\u001b[0m. The new prompt should be similar to the current instruction, and only differ in the parts that address the \n",
       "issues you identified in Step \u001b[1;36m1\u001b[0m.\n",
       "    Example:\n",
       "    - Current prompt: \u001b[32m\"The model should generate a summary of the input text.\"\u001b[0m\n",
       "    - New prompt: \u001b[32m\"The model should generate a summary of the input text. Pay attention to the original style.\"\u001b[0m\n",
       "        \n",
       "\u001b[1;36m3\u001b[0m. Reply only with the new prompt. Do not include input and output templates in the prompt.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "For each arithmetic word problem provided, <span style=\"background-color: lightgreen;\">f</span>o<span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span>o<span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">s</span>:\n",
       "- <span style=\"background-color: lightgreen;\">B</span>e<span style=\"background-color: lightgreen;\">g</span>in b<span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span>e<span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span>d<span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">(</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span> wee<span style=\"background-color: lightgreen;\">k</span>s<span style=\"background-color: lightgreen;\">,</span> mont<span style=\"background-color: lightgreen;\">h</span>s<span style=\"background-color: lightgreen;\">)</span> an<span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span>s<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span>.\n",
       "- <span style=\"background-color: lightgreen;\">C</span>la<span style=\"background-color: lightgreen;\">r</span>if<span style=\"background-color: lightgreen;\">y</span> t<span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span> un<span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">s</span> <span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span>blem, and rest<span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\"> </span>i<span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span>n<span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span>s<span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span>.\n",
       "- <span style=\"background-color: lightgreen;\">S</span>el<span style=\"background-color: lightgreen;\">e</span>ct <span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">T</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">P</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span>wth rates, agin<span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">,</span> or acc<span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span>a<span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span>s<span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span>es.\n",
       "- <span style=\"background-color: lightgreen;\">P</span>er<span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">j</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span>ble<span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">'</span>s con<span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span>o<span style=\"background-color: lightgreen;\">n</span>s. Clearly articulate ea<span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span>y<span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span> equations or proportions and e<span style=\"background-color: lightgreen;\">x</span>plaining the <span style=\"background-color: lightgreen;\">c</span>hoi<span style=\"background-color: lightgreen;\">c</span>e<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span>r<span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span>.\n",
       "- <span style=\"background-color: lightgreen;\">E</span><span style=\"background-color: lightgreen;\">x</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">R</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">q</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">v</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">q</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\">\n",
       "</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\"> </span>C<span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span>cl<span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">d</span>e<span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">-</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">k</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">w</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">g</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">x</span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">f</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">y</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">p</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">b</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">m</span><span style=\"background-color: lightgreen;\">.</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">R</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span>ve an<span style=\"background-color: lightgreen;\">y</span> inconsis<span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">d</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">h</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">r</span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">n</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">,</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">e</span><span style=\"background-color: lightgreen;\">x</span><span style=\"background-color: lightgreen;\">a</span><span style=\"background-color: lightgreen;\">c</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\"> </span><span style=\"background-color: lightgreen;\">s</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">l</span><span style=\"background-color: lightgreen;\">u</span><span style=\"background-color: lightgreen;\">t</span><span style=\"background-color: lightgreen;\">i</span><span style=\"background-color: lightgreen;\">o</span><span style=\"background-color: lightgreen;\">n</span>."
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Train is done!\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Train is done!\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agent.learn(batch_size=5, learning_iterations=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The total number of examples needed to teach the agent is _batch_size x learning_iterations_ which is equal to 25 in this case. It is possible to learn more by increasing these parameters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The new learned instruction is the following:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">For each arithmetic word problem provided, follow these steps:\n",
       "- Begin by comprehensively identifying and understanding the relationships, conditions, and any given numerical \n",
       "information, including the units of measurement <span style=\"font-weight: bold\">(</span>e.g., days, weeks, months<span style=\"font-weight: bold\">)</span> and the related arithmetic operations \n",
       "involved in the scenario.\n",
       "- Clarify the units and timing of events in the word problem, and restate them if necessary to align with the final\n",
       "units desired for the solution.\n",
       "- Select the appropriate mathematical operations necessary to obtain the solution. These operations may involve \n",
       "addition, subtraction, multiplication, division, or the application of ratios, percentages, and proportions. Pay \n",
       "special attention to any transformations or calculations that entail changes over time, such as growth rates, \n",
       "aging, or accumulation of resources, ensuring proper application of increases, decreases, or proportional changes.\n",
       "- Perform the calculations methodically, verifying at each juncture that the operations and results conform to the \n",
       "problem's conditions. Clearly articulate each step of your calculation process, demonstrating the setup of \n",
       "equations or proportions and explaining the choice of mathematical methods to maintain clarity and logic throughout\n",
       "your reasoning.\n",
       "- Examine each intermediate result within multi-step problems, confirming accuracy before proceeding further. \n",
       "Reiterate the logical sequence of steps, especially when the problem involves cumulative or sequential changes, to \n",
       "ensure continuity and logical progression in the calculation process.\n",
       "- Conclude by cross-checking the final answer against the conditions and expectations set forth by the problem. \n",
       "Resolve any inconsistencies encountered and articulate a coherent, exact solution.\n",
       "</pre>\n"
      ],
      "text/plain": [
       "For each arithmetic word problem provided, follow these steps:\n",
       "- Begin by comprehensively identifying and understanding the relationships, conditions, and any given numerical \n",
       "information, including the units of measurement \u001b[1m(\u001b[0me.g., days, weeks, months\u001b[1m)\u001b[0m and the related arithmetic operations \n",
       "involved in the scenario.\n",
       "- Clarify the units and timing of events in the word problem, and restate them if necessary to align with the final\n",
       "units desired for the solution.\n",
       "- Select the appropriate mathematical operations necessary to obtain the solution. These operations may involve \n",
       "addition, subtraction, multiplication, division, or the application of ratios, percentages, and proportions. Pay \n",
       "special attention to any transformations or calculations that entail changes over time, such as growth rates, \n",
       "aging, or accumulation of resources, ensuring proper application of increases, decreases, or proportional changes.\n",
       "- Perform the calculations methodically, verifying at each juncture that the operations and results conform to the \n",
       "problem's conditions. Clearly articulate each step of your calculation process, demonstrating the setup of \n",
       "equations or proportions and explaining the choice of mathematical methods to maintain clarity and logic throughout\n",
       "your reasoning.\n",
       "- Examine each intermediate result within multi-step problems, confirming accuracy before proceeding further. \n",
       "Reiterate the logical sequence of steps, especially when the problem involves cumulative or sequential changes, to \n",
       "ensure continuity and logical progression in the calculation process.\n",
       "- Conclude by cross-checking the final answer against the conditions and expectations set forth by the problem. \n",
       "Resolve any inconsistencies encountered and articulate a coherent, exact solution.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(agent.skills['math_solver'].instructions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's see how agent performs with the new instructions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Applying skill: math_solver\n",
       "</pre>\n"
      ],
      "text/plain": [
       "Applying skill: math_solver\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█| 1319/1319 [1:14:05\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">New accuracy: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.7414708112206216</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "New accuracy: \u001b[1;36m0.7414708112206216\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_new = agent.run(df_test.drop(columns='answer'))\n",
    "accuracy = StaticEnvironment(df=df_test, matching_function=evaluate_answers).get_feedback(skills, result_new).get_accuracy()\n",
    "print(f'New accuracy: {accuracy[\"answer\"]}')"
   ]
  }
 ],
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